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10000136767752 = 2332375696597197
BaseRepresentation
bin1001000110000101011010…
…0110011000100100001000
31022102000002201120202220200
42101201112212120210020
52302320240003032002
633133555512252200
72051325466013145
oct221412646304410
938360081522820
1010000136767752
11320604155871a
1211561156a1060
135770165a35a1
1426801b3713cc
151251d6e5bb1c
hex91856998908

10000136767752 has 96 divisors (see below), whose sum is σ = 27864585192600. Its totient is φ = 3237587131392.

The previous prime is 10000136767693. The next prime is 10000136767807. The reversal of 10000136767752 is 25776763100001.

It can be written as a sum of positive squares in 4 ways, for example, as 6451833682116 + 3548303085636 = 2540046^2 + 1883694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000136767698 and 10000136767707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782783 + ... + 4814414.

Almost surely, 210000136767752 is an apocalyptic number.

10000136767752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000136767752 is an abundant number, since it is smaller than the sum of its proper divisors (17864448424848).

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

10000136767752 is a wasteful number, since it uses less digits than its factorization.

10000136767752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597815 (or 6597808 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

Adding to 10000136767752 its reverse (25776763100001), we get a palindrome (35776899867753).

The spelling of 10000136767752 in words is "ten trillion, one hundred thirty-six million, seven hundred sixty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 569 666 888 1138 1332 1707 2276 2664 3414 4552 5121 6828 10242 13656 20484 21053 40968 42106 63159 84212 126318 168424 189477 252636 378954 505272 757908 1515816 6597197 13194394 19791591 26388788 39583182 52777576 59374773 79166364 118749546 158332728 237499092 244096289 474998184 488192578 732288867 976385156 1464577734 1952770312 2196866601 2929155468 3753805093 4393733202 5858310936 7507610186 8787466404 11261415279 15015220372 17574932808 22522830558 30030440744 33784245837 45045661116 67568491674 90091322232 135136983348 138890788441 270273966696 277781576882 416672365323 555563153764 833344730646 1111126307528 1250017095969 1666689461292 2500034191938 3333378922584 5000068383876 10000136767752