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38488797076356 = 2234112313332
BaseRepresentation
bin10001100000001010111110…
…00100111101101110000100
312001021111022110000101110000
420300011133010331232010
520021100024022420411
6213505302001001300
711051503162120134
oct1060053704755604
9161244273011400
1038488797076356
111129a009604400
124397478323230
13186262a1b7873
14970c21038ac4
1546b2ae09c956
hex23015f13db84

38488797076356 has 135 divisors (see below), whose sum is σ = 110599425109173. Its totient is φ = 11662899605280.

The previous prime is 38488797076339. The next prime is 38488797076357. The reversal of 38488797076356 is 65367079788483.

The square root of 38488797076356 is 6203934.

It is a perfect power (a square), and thus also a powerful number.

38488797076356 is a `hidden beast` number, since 3 + 8 + 488 + 7 + 9 + 70 + 7 + 63 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38469145522500 + 19651553856 = 6202350^2 + 140184^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (38488797076357) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1228363266 + ... + 1228394598.

Almost surely, 238488797076356 is an apocalyptic number.

38488797076356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38488797076356 is the 6203934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38488797076356

38488797076356 is an abundant number, since it is smaller than the sum of its proper divisors (72110628032817).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38488797076356 is an frugal number, since it uses more digits than its factorization.

38488797076356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62704 (or 31349 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

38488797076356 divided by its sum of digits (81) gives a square (475170334276 = 6893262).

The spelling of 38488797076356 in words is "thirty-eight trillion, four hundred eighty-eight billion, seven hundred ninety-seven million, seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 31333 39204 62666 93999 125332 187998 281997 344663 375996 563994 689326 845991 1033989 1127988 1378652 1691982 2067978 2537973 3101967 3383964 3791293 4135956 5075946 6203934 7582586 9305901 10151892 11373879 12407868 15165172 18611802 22747758 27917703 34121637 37223604 45495516 55835406 68243274 102364911 111670812 136486548 204729822 307094733 409459644 614189466 981756889 1228378932 1963513778 2945270667 3927027556 5890541334 8835812001 10799325779 11781082668 17671624002 21598651558 26507436003 32397977337 35343248004 43197303116 53014872006 64795954674 79522308009 97193932011 106029744012 118792583569 129591909348 159044616018 194387864022 237585167138 291581796033 318089232036 356377750707 388775728044 475170334276 583163592066 712755501414 874745388099 1069133252121 1166327184132 1425511002828 1749490776198 2138266504242 3207399756363 3498981552396 4276533008484 6414799512726 9622199269089 12829599025452 19244398538178 38488797076356