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10330629088 = 2513176132383
BaseRepresentation
bin10011001111100000…
…01110001111100000
3222122221220022222011
421213300032033200
5132124120112323
64425033122304
7514000620103
oct114760161740
928587808864
1010330629088
11442140959a
122003859394
13c883506a0
1470002a73a
15406e1c20d
hex267c0e3e0

10330629088 has 96 divisors (see below), whose sum is σ = 23238907776. Its totient is φ = 4478312448.

The previous prime is 10330629073. The next prime is 10330629163. The reversal of 10330629088 is 88092603301.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10330629088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4333945 + ... + 4336327.

It is an arithmetic number, because the mean of its divisors is an integer number (242071956).

Almost surely, 210330629088 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 10330629088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11619453888).

10330629088 is an abundant number, since it is smaller than the sum of its proper divisors (12908278688).

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

10330629088 is a wasteful number, since it uses less digits than its factorization.

10330629088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10330629088 in words is "ten billion, three hundred thirty million, six hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 613 884 1226 1768 2383 2452 3536 4766 4904 7072 7969 9532 9808 10421 15938 19064 19616 20842 30979 31876 38128 40511 41684 61958 63752 76256 81022 83368 123916 127504 135473 162044 166736 247832 255008 270946 324088 333472 495664 526643 541892 648176 991328 1053286 1083784 1296352 1460779 2106572 2167568 2921558 4213144 4335136 5843116 8426288 11686232 16852576 18990127 23372464 24833243 37980254 46744928 49666486 75960508 99332972 151921016 198665944 303842032 322832159 397331888 607684064 645664318 794663776 1291328636 2582657272 5165314544 10330629088