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107655549144 = 233111332579631
BaseRepresentation
bin110010001000011000…
…1010101000011011000
3101021212200220112101220
41210100301111003120
53230434310033034
6121242320012040
710530543032523
oct1442061250330
9337780815356
10107655549144
1141724829520
1218a45761020
13a1c8890390
1452d3aa3bba
152c01395749
hex1910c550d8

107655549144 has 128 divisors (see below), whose sum is σ = 316321044480. Its totient is φ = 30101068800.

The previous prime is 107655549143. The next prime is 107655549149. The reversal of 107655549144 is 441945556701.

It is a happy number.

It is a super-2 number, since 2×1076555491442 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107655549143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11173209 + ... + 11182839.

It is an arithmetic number, because the mean of its divisors is an integer number (2471258160).

Almost surely, 2107655549144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107655549144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158160522240).

107655549144 is an abundant number, since it is smaller than the sum of its proper divisors (208665495336).

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

107655549144 is a wasteful number, since it uses less digits than its factorization.

107655549144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 107655549144 in words is "one hundred seven billion, six hundred fifty-five million, five hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3257 3432 6514 9631 9771 13028 19262 19542 26056 28893 35827 38524 39084 42341 57786 71654 77048 78168 84682 105941 107481 115572 125203 127023 143308 169364 211882 214962 231144 250406 254046 286616 317823 338728 375609 423764 429924 465751 500812 508092 635646 751218 847528 859848 931502 1001624 1016184 1271292 1377233 1397253 1502436 1863004 2542584 2754466 2794506 3004872 3726008 4131699 5508932 5589012 8263398 11017864 11178024 16526796 31368167 33053592 62736334 94104501 125472668 188209002 250945336 345049837 376418004 407786171 690099674 752836008 815572342 1035149511 1223358513 1380199348 1631144684 2070299022 2446717026 2760398696 3262289368 4140598044 4485647881 4893434052 8281196088 8971295762 9786868104 13456943643 17942591524 26913887286 35885183048 53827774572 107655549144