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10329405152472 = 23327295931191769
BaseRepresentation
bin1001011001010000000010…
…0001100101110011011000
31100120111000000010210112200
42112110000201211303120
52323214110204334342
633545132504410200
72114163201056310
oct226240041456330
940514000123480
1010329405152472
113322748a1561a
1211a9aa8a76960
1359c09c038923
14279d356b4440
1512da58dc994c
hex96500865cd8

10329405152472 has 192 divisors, whose sum is σ = 33130252584000. Its totient is φ = 2844683476992.

The previous prime is 10329405152453. The next prime is 10329405152483. The reversal of 10329405152472 is 27425150492301.

10329405152472 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 9 + 4 + 0 + 51 + 524 + 72 = 666.

It is a super-2 number, since 2×103294051524722 (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 8071404 + ... + 9263172.

It is an arithmetic number, because the mean of its divisors is an integer number (172553398875).

Almost surely, 210329405152472 is an apocalyptic number.

10329405152472 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 10329405152472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565126292000).

10329405152472 is an abundant number, since it is smaller than the sum of its proper divisors (22800847431528).

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

10329405152472 is a wasteful number, since it uses less digits than its factorization.

10329405152472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192410 (or 1192403 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10329405152472 in words is "ten trillion, three hundred twenty-nine billion, four hundred five million, one hundred fifty-two thousand, four hundred seventy-two".