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38682511340022 = 23311413115107213
BaseRepresentation
bin10001100101110011110010…
…10110001111000111110110
312001222000022201120120201000
420302321321112033013312
520032233240400340042
6214134300025544130
711101501456154214
oct1062717126170766
9161860281516630
1038682511340022
1111364185222890
124408b1a945046
13187798c195614
1497a35a3abcb4
1547134a79674c
hex232e7958f1f6

38682511340022 has 128 divisors (see below), whose sum is σ = 96371902448640. Its totient is φ = 11399297184000.

The previous prime is 38682511339859. The next prime is 38682511340023. The reversal of 38682511340022 is 22004311528683.

38682511340022 is a `hidden beast` number, since 3 + 8 + 6 + 82 + 511 + 34 + 0 + 0 + 22 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38682511340022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38682511340023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5020488 + ... + 10127700.

It is an arithmetic number, because the mean of its divisors is an integer number (752905487880).

Almost surely, 238682511340022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682511340022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185951224320).

38682511340022 is an abundant number, since it is smaller than the sum of its proper divisors (57689391108618).

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

38682511340022 is a wasteful number, since it uses less digits than its factorization.

38682511340022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107587 (or 5107581 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38682511340022 in words is "thirty-eight trillion, six hundred eighty-two billion, five hundred eleven million, three hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 311 369 451 594 622 738 902 933 1107 1353 1866 2214 2706 2799 3421 4059 5598 6842 8118 8397 10263 12177 12751 16794 20526 24354 25502 30789 38253 61578 76506 92367 114759 140261 184734 229518 280522 344277 420783 688554 841566 1262349 2524698 3787047 5107213 7574094 10214426 15321639 30643278 45964917 56179343 91929834 112358686 137894751 168538029 209395733 275789502 337076058 418791466 505614087 628187199 1011228174 1256374398 1516842261 1588343243 1884561597 2303353063 3033684522 3176686486 3769123194 4606706126 4765029729 5653684791 6910059189 9530059458 11307369582 13820118378 14295089187 17471775673 20730177567 28590178374 34943551346 41460355134 42885267561 52415327019 62190532701 65122072963 85770535122 104830654038 124381065402 130244145926 157245981057 195366218889 314491962114 390732437778 471737943171 586098656667 716342802593 943475886342 1172197313334 1432685605186 1758295970001 2149028407779 3516591940002 4298056815558 6447085223337 12894170446674 19341255670011 38682511340022