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10693910952 = 23365931079
BaseRepresentation
bin10011111010110100…
…00010000110101000
31000121021110222000000
421331122002012220
5133400120122302
64525051343000
7526001512644
oct117532020650
930537428000
1010693910952
11459848563a
1220a5451a60
1310156a717a
14736393c24
15428c7b31c
hex27d6821a8

10693910952 has 112 divisors (see below), whose sum is σ = 30573396000. Its totient is φ = 3504106656.

The previous prime is 10693910933. The next prime is 10693910957. The reversal of 10693910952 is 25901939601.

It is a happy number.

It is a super-2 number, since 2×106939109522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10693910898 and 10693910907.

It is not an unprimeable number, because it can be changed into a prime (10693910957) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 328549 + ... + 359627.

It is an arithmetic number, because the mean of its divisors is an integer number (272976750).

Almost surely, 210693910952 is an apocalyptic number.

10693910952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10693910952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286698000).

10693910952 is an abundant number, since it is smaller than the sum of its proper divisors (19879485048).

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

10693910952 is an equidigital number, since it uses as much as digits as its factorization.

10693910952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31162 (or 31143 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10693910952 in words is "ten billion, six hundred ninety-three million, nine hundred ten thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 729 972 1062 1416 1458 1593 1944 2124 2916 3186 4248 4779 5832 6372 9558 12744 14337 19116 28674 31079 38232 43011 57348 62158 86022 93237 114696 124316 172044 186474 248632 279711 344088 372948 559422 745896 839133 1118844 1678266 1833661 2237688 2517399 3356532 3667322 5034798 5500983 6713064 7334644 7552197 10069596 11001966 14669288 15104394 16502949 20139192 22003932 22656591 30208788 33005898 44007864 45313182 49508847 60417576 66011796 90626364 99017694 132023592 148526541 181252728 198035388 297053082 396070776 445579623 594106164 891159246 1188212328 1336738869 1782318492 2673477738 3564636984 5346955476 10693910952