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23451011015432 = 23711313232634001
BaseRepresentation
bin1010101010100000111010…
…01011100110001100001000
310002000220011021112020011112
411111100131023212030020
511033210132304443212
6121513125024545452
74640164625452430
oct525203513461410
9102026137466145
1023451011015432
117521577396000
122768b68182288
1310115617b7970
145b106c0212c0
152aa0344c3422
hex15541d2e6308

23451011015432 has 512 divisors, whose sum is σ = 62365241917440. Its totient is φ = 8034554880000.

The previous prime is 23451011015431. The next prime is 23451011015459.

23451011015432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23451011015431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5861285432 + ... + 5861289432.

It is an arithmetic number, because the mean of its divisors is an integer number (121807113120).

Almost surely, 223451011015432 is an apocalyptic number.

23451011015432 is a gapful number since it is divisible by the number (22) 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 23451011015432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31182620958720).

23451011015432 is an abundant number, since it is smaller than the sum of its proper divisors (38914230902008).

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

23451011015432 is a wasteful number, since it uses less digits than its factorization.

23451011015432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 23451011015432 in words is "twenty-three trillion, four hundred fifty-one billion, eleven million, fifteen thousand, four hundred thirty-two".