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231516213274416 = 243717313174124509
BaseRepresentation
bin110100101001000000010001…
…101001101110011100110000
31010100201201210222002122002010
4310221000101221232130300
5220321130201044240131
62140221025145122520
766523331406135150
oct6451002151563460
91110651728078063
10231516213274416
116784a524861834
1221b71487489440
139c24b67b22015
144125631a48760
151bb74047d5b46
hexd29011a6e730

231516213274416 has 320 divisors, whose sum is σ = 749434421698560. Its totient is φ = 60058115850240.

The previous prime is 231516213274397. The next prime is 231516213274553. The reversal of 231516213274416 is 614472312615132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54069570 + ... + 58194078.

It is an arithmetic number, because the mean of its divisors is an integer number (2341982567808).

Almost surely, 2231516213274416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231516213274416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374717210849280).

231516213274416 is an abundant number, since it is smaller than the sum of its proper divisors (517918208424144).

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

231516213274416 is a wasteful number, since it uses less digits than its factorization.

231516213274416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124892 (or 4124886 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

Adding to 231516213274416 its reverse (614472312615132), we get a palindrome (845988525889548).

The spelling of 231516213274416 in words is "two hundred thirty-one trillion, five hundred sixteen billion, two hundred thirteen million, two hundred seventy-four thousand, four hundred sixteen".