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23157070231680 = 2733571173419569
BaseRepresentation
bin1010100001111101011001…
…11100011111100010000000
310000222210110001002021112000
411100332230330133202000
511013401134434403210
6121130113341504000
74610020534146420
oct520765474374200
9100883401067460
1023157070231680
117418949495640
12271bbb3b72000
13cbc9190b9118
145a0b45904480
152a257dc47ac0
hex150facf1f880

23157070231680 has 2048 divisors, whose sum is σ = 104082693120000. Its totient is φ = 4726295101440.

The previous prime is 23157070231651. The next prime is 23157070231717. The reversal of 23157070231680 is 8613207075132.

23157070231680 is a `hidden beast` number, since 2 + 3 + 1 + 570 + 70 + 2 + 3 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40697838436 + ... + 40697839004.

It is an arithmetic number, because the mean of its divisors is an integer number (50821627500).

Almost surely, 223157070231680 is an apocalyptic number.

23157070231680 is a gapful number since it is divisible by the number (20) 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 23157070231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52041346560000).

23157070231680 is an abundant number, since it is smaller than the sum of its proper divisors (80925622888320).

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

23157070231680 is a wasteful number, since it uses less digits than its factorization.

23157070231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 23157070231680 in words is "twenty-three trillion, one hundred fifty-seven billion, seventy million, two hundred thirty-one thousand, six hundred eighty".