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13023241500672 = 2113213675471483
BaseRepresentation
bin1011110110000011010110…
…1011101111100000000000
31201010000021002111002111200
42331200311223233200000
53201333044311010142
643410443342341200
72512620031163514
oct275406553574000
951100232432450
1013023241500672
114171142348197
121563ba928a800
13736117aa2490
14330484a1a144
15178b6ec9c64c
hexbd835aef800

13023241500672 has 576 divisors, whose sum is σ = 41214370055040. Its totient is φ = 3937469792256.

The previous prime is 13023241500653. The next prime is 13023241500679. The reversal of 13023241500672 is 27600514232031.

13023241500672 is a `hidden beast` number, since 1 + 3 + 0 + 232 + 415 + 0 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023241500679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8781686043 + ... + 8781687525.

It is an arithmetic number, because the mean of its divisors is an integer number (71552725790).

Almost surely, 213023241500672 is an apocalyptic number.

13023241500672 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 13023241500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607185027520).

13023241500672 is an abundant number, since it is smaller than the sum of its proper divisors (28191128554368).

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

13023241500672 is a wasteful number, since it uses less digits than its factorization.

13023241500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13023241500672 in words is "thirteen trillion, twenty-three billion, two hundred forty-one million, five hundred thousand, six hundred seventy-two".