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10429790232 = 23319127717911
BaseRepresentation
bin10011011011010100…
…11111100000011000
3222220212111020111010
421231222133200120
5132330011241412
64442534333520
7516313516461
oct115552374030
928825436433
1010429790232
114472387854
122030aba2a0
13ca2a5c414
1470d27dd68
154109a833c
hex26da9f818

10429790232 has 64 divisors (see below), whose sum is σ = 27469843200. Its totient is φ = 3290855040.

The previous prime is 10429790227. The next prime is 10429790263. The reversal of 10429790232 is 23209792401.

10429790232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104297902322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573357 + ... + 591267.

It is an arithmetic number, because the mean of its divisors is an integer number (429216300).

Almost surely, 210429790232 is an apocalyptic number.

10429790232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10429790232 is an abundant number, since it is smaller than the sum of its proper divisors (17040052968).

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

10429790232 is a wasteful number, since it uses less digits than its factorization.

10429790232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 10429790232 in words is "ten billion, four hundred twenty-nine million, seven hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1277 2554 3831 5108 7662 10216 15324 17911 24263 30648 35822 48526 53733 71644 72789 97052 107466 143288 145578 194104 214932 291156 340309 429864 582312 680618 1020927 1361236 2041854 2722472 4083708 8167416 22872347 45744694 68617041 91489388 137234082 182978776 274468164 434574593 548936328 869149186 1303723779 1738298372 2607447558 3476596744 5214895116 10429790232