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10687341023952 = 2431721375623543
BaseRepresentation
bin1001101110000101011100…
…1010100101001011010000
31101211200220011122001000120
42123201113022211023100
52400100133300231302
634421410252350240
72152064162554155
oct233412712451320
941750804561016
1010687341023952
11345052643163a
121247340a75380
135c6a72a86198
1428d3ad0ba22c
151380079ac9bc
hex9b8572a52d0

10687341023952 has 120 divisors (see below), whose sum is σ = 29542636072896. Its totient is φ = 3328417050624.

The previous prime is 10687341023951. The next prime is 10687341024001. The reversal of 10687341023952 is 25932014378601.

It is a super-2 number, since 2×106873410239522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 10687341023895 and 10687341023904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687341023951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911308 + ... + 4712235.

It is a 1-persistent number, because it is pandigital, but 2⋅10687341023952 = 21374682047904 is not.

Almost surely, 210687341023952 is an apocalyptic number.

10687341023952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10687341023952 is an abundant number, since it is smaller than the sum of its proper divisors (18855295048944).

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

10687341023952 is a wasteful number, since it uses less digits than its factorization.

10687341023952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623725 (or 5623702 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 10687341023952 in words is "ten trillion, six hundred eighty-seven billion, three hundred forty-one million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 204 272 274 289 408 411 548 578 816 822 867 1096 1156 1644 1734 2192 2312 2329 3288 3468 4624 4658 6576 6936 6987 9316 13872 13974 18632 27948 37264 39593 55896 79186 111792 118779 158372 237558 316744 475116 633488 950232 1900464 5623543 11247086 16870629 22494172 33741258 44988344 67482516 89976688 95600231 134965032 191200462 269930064 286800693 382400924 573601386 764801848 770425391 1147202772 1529603696 1540850782 1625203927 2294405544 2311276173 3081701564 3250407854 4588811088 4622552346 4875611781 6163403128 6500815708 9245104692 9751223562 12326806256 13001631416 13097231647 18490209384 19502447124 26003262832 26194463294 36980418768 39004894248 39291694941 52388926588 78009788496 78583389882 104777853176 157166779764 209555706352 222652937999 314333559528 445305875998 628667119056 667958813997 890611751996 1335917627994 1781223503992 2671835255988 3562447007984 5343670511976 10687341023952