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10616901288 = 23371314671033
BaseRepresentation
bin10011110001101000…
…10000111010101000
31000101220120110121020
421320310100322220
5133220411320123
64513301012440
7524045112660
oct117064207250
930356513536
1010616901288
114558a67094
1220836b4120
131002752c16
1472a0691a0
154221187e3
hex278d10ea8

10616901288 has 128 divisors (see below), whose sum is σ = 30660664320. Its totient is φ = 3000890880.

The previous prime is 10616901287. The next prime is 10616901307. The reversal of 10616901288 is 88210961601.

It is a super-2 number, since 2×106169012882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10616901287) 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, 10277220 + ... + 10278252.

It is an arithmetic number, because the mean of its divisors is an integer number (239536440).

Almost surely, 210616901288 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 10616901288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330332160).

10616901288 is an abundant number, since it is smaller than the sum of its proper divisors (20043763032).

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

10616901288 is a wasteful number, since it uses less digits than its factorization.

10616901288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 10616901288 in words is "ten billion, six hundred sixteen million, nine hundred one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 467 524 786 917 934 1033 1048 1401 1572 1834 1868 2066 2751 2802 3099 3144 3269 3668 3736 4132 5502 5604 6198 6538 7231 7336 8264 9807 11004 11208 12396 13076 14462 19614 21693 22008 24792 26152 28924 39228 43386 57848 61177 78456 86772 122354 135323 173544 183531 244708 270646 367062 405969 428239 482411 489416 541292 734124 811938 856478 947261 964822 1082584 1284717 1447233 1468248 1623876 1712956 1894522 1929644 2569434 2841783 2894466 3247752 3376877 3425912 3789044 3859288 5138868 5683566 5788932 6753754 7578088 10130631 10277736 11367132 11577864 13507508 20261262 22734264 27015016 40522524 63195841 81045048 126391682 189587523 252783364 379175046 442370887 505566728 758350092 884741774 1327112661 1516700184 1769483548 2654225322 3538967096 5308450644 10616901288