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38216365740 = 223257109278261
BaseRepresentation
bin100011100101110111…
…110111011010101100
310122122100211112021100
4203211313313122230
51111231342200430
625320101203100
72522015514630
oct434567673254
9118570745240
1038216365740
1115231162243
1274a6700490
1337b06a2687
141bc7754dc0
15eda112960
hex8e5df76ac

38216365740 has 144 divisors (see below), whose sum is σ = 133699325760. Its totient is φ = 8654999040.

The previous prime is 38216365709. The next prime is 38216365771. The reversal of 38216365740 is 4756361283.

38216365740 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 636 + 5 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38216365709) and next prime (38216365771).

It is a super-2 number, since 2×382163657402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791 + ... + 276470.

It is an arithmetic number, because the mean of its divisors is an integer number (928467540).

Almost surely, 238216365740 is an apocalyptic number.

38216365740 is a gapful number since it is divisible by the number (30) 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 38216365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66849662880).

38216365740 is an abundant number, since it is smaller than the sum of its proper divisors (95482960020).

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

38216365740 is a wasteful number, since it uses less digits than its factorization.

38216365740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278392 (or 278387 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38216365740 in words is "thirty-eight billion, two hundred sixteen million, three hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1090 1260 1308 1526 1635 1962 2180 2289 3052 3270 3815 3924 4578 4905 6540 6867 7630 9156 9810 11445 13734 15260 19620 22890 27468 34335 45780 68670 137340 278261 556522 834783 1113044 1391305 1669566 1947827 2504349 2782610 3339132 3895654 4173915 5008698 5565220 5843481 7791308 8347830 9739135 10017396 11686962 12521745 16695660 17530443 19478270 23373924 25043490 29217405 30330449 35060886 38956540 50086980 58434810 60660898 70121772 87652215 90991347 116869620 121321796 151652245 175304430 181982694 212313143 272974041 303304490 350608860 363965388 424626286 454956735 545948082 606608980 636939429 849252572 909913470 1061565715 1091896164 1273878858 1364870205 1819826940 1910818287 2123131430 2547757716 2729740410 3184697145 3821636574 4246262860 5459480820 6369394290 7643273148 9554091435 12738788580 19108182870 38216365740