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23454455445432 = 23331197719335227
BaseRepresentation
bin1010101010100111010100…
…11111000011011110111000
310002001020001022211101212000
411111103222133003132320
511033234211043223212
6121514454511021000
74640346161565414
oct525235237033670
9102036038741760
1023454455445432
117522a84708270
12276976980a760
13101199029881b
145b12b7675d44
152aa186aa51dc
hex1554ea7c37b8

23454455445432 has 256 divisors, whose sum is σ = 71197279603200. Its totient is φ = 7095105239040.

The previous prime is 23454455445431. The next prime is 23454455445457.

23454455445432 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 4 + 55 + 44 + 543 + 2 = 666.

23454455445432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234544554454322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23454455445431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4487170803 + ... + 4487176029.

It is an arithmetic number, because the mean of its divisors is an integer number (278114373450).

Almost surely, 223454455445432 is an apocalyptic number.

23454455445432 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 23454455445432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35598639801600).

23454455445432 is an abundant number, since it is smaller than the sum of its proper divisors (47742824157768).

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

23454455445432 is a wasteful number, since it uses less digits than its factorization.

23454455445432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8153 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

The spelling of 23454455445432 in words is "twenty-three trillion, four hundred fifty-four billion, four hundred fifty-five million, four hundred forty-five thousand, four hundred thirty-two".