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13712919985216 = 264628872
BaseRepresentation
bin1100011110001100100110…
…1110010111110001000000
31210112221102222020011211101
43013203021232113301000
53244133030004011331
645055343430024144
72613503640445324
oct307431156276100
953487388204741
1013712919985216
114407686922521
1216557a51a8054
13786179a6000a
143559cd1c7984
1518ba87b38061
hexc78c9b97c40

13712919985216 has 21 divisors (see below), whose sum is σ = 27211634382439. Its totient is φ = 6856445180224.

The previous prime is 13712919985213. The next prime is 13712919985249. The reversal of 13712919985216 is 61258991921731.

The square root of 13712919985216 is 3703096.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13712919985211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29393325 + ... + 29856211.

Almost surely, 213712919985216 is an apocalyptic number.

13712919985216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13712919985216 is the 3703096-th square number.

It is an amenable number.

13712919985216 is a deficient number, since it is larger than the sum of its proper divisors (13498714397223).

13712919985216 is an frugal number, since it uses more digits than its factorization.

13712919985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925786 (or 462889 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 64.

Multiplying 13712919985216 by its sum of digits (64), we get a square (877626879053824 = 296247682).

13712919985216 divided by its sum of digits (64) gives a square (214264374769 = 4628872).

The spelling of 13712919985216 in words is "thirteen trillion, seven hundred twelve billion, nine hundred nineteen million, nine hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 462887 925774 1851548 3703096 7406192 14812384 29624768 214264374769 428528749538 857057499076 1714114998152 3428229996304 6856459992608 13712919985216