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10115733422352 = 24323671069127931
BaseRepresentation
bin1001001100110100000010…
…1100101000000100010000
31022211001110212002021002110
42103031000230220010100
52311214010224003402
633303034225545320
72062560206244645
oct223150054500420
938731425067073
1010115733422352
113250070889208
1211745b67a5240
13584ba942601c
1426d86596bdcc
1512820056756c
hex93340b28110

10115733422352 has 160 divisors (see below), whose sum is σ = 27701596984320. Its totient is φ = 3174170503680.

The previous prime is 10115733422281. The next prime is 10115733422437. The reversal of 10115733422352 is 25322433751101.

It is a self number, because there is not a number n which added to its sum of digits gives 10115733422352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79007827 + ... + 79135757.

It is an arithmetic number, because the mean of its divisors is an integer number (173134981152).

Almost surely, 210115733422352 is an apocalyptic number.

10115733422352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10115733422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850798492160).

10115733422352 is an abundant number, since it is smaller than the sum of its proper divisors (17585863561968).

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

10115733422352 is a wasteful number, since it uses less digits than its factorization.

10115733422352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129101 (or 129095 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 10115733422352 in words is "ten trillion, one hundred fifteen billion, seven hundred thirty-three million, four hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 134 138 184 201 268 276 368 402 536 552 804 1069 1072 1104 1541 1608 2138 3082 3207 3216 4276 4623 6164 6414 8552 9246 12328 12828 17104 18492 24587 24656 25656 36984 49174 51312 71623 73761 73968 98348 127931 143246 147522 196696 214869 255862 286492 295044 383793 393392 429738 511724 572984 590088 767586 859476 1023448 1145968 1180176 1535172 1647329 1718952 2046896 2942413 3070344 3294658 3437904 4941987 5884826 6140688 6589316 8571377 8827239 9883974 11769652 13178632 17142754 17654478 19767948 23539304 25714131 26357264 34285508 35308956 39535896 47078608 51428262 68571016 70617912 79071792 102856524 136758239 137142032 141235824 197141671 205713048 273516478 394283342 410274717 411426096 547032956 591425013 788566684 820549434 1094065912 1182850026 1577133368 1641098868 2188131824 2365700052 3145439497 3154266736 3282197736 4731400104 6290878994 6564395472 9162802013 9436318491 9462800208 12581757988 18325604026 18872636982 25163515976 27488406039 36651208052 37745273964 50327031952 54976812078 73302416104 75490547928 109953624156 146604832208 150981095856 210744446299 219907248312 421488892598 439814496624 632233338897 842977785196 1264466677794 1685955570392 2528933355588 3371911140784 5057866711176 10115733422352