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12534460483216 = 24721264432
BaseRepresentation
bin1011011001100110100000…
…0100001000011010010000
31122101021122002202202002011
42312121220010020122100
53120331033340430331
642354130205032304
72432404421115100
oct266315004103220
948337562682064
1012534460483216
113aa29201963a1
1214a5319555694
136cbcc1051619
143149577cb200
1516b0b40623b1
hexb6668108690

12534460483216 has 45 divisors (see below), whose sum is σ = 28250723010531. Its totient is φ = 5371869150816.

The previous prime is 12534460483199. The next prime is 12534460483243. The reversal of 12534460483216 is 61238406443521.

The square root of 12534460483216 is 3540404.

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

It is a super-2 number, since 2×125344604832162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 12534460483216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99068091 + ... + 99194533.

Almost surely, 212534460483216 is an apocalyptic number.

12534460483216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12534460483216 is the 3540404-th square number.

It is an amenable number.

12534460483216 is an abundant number, since it is smaller than the sum of its proper divisors (15716262527315).

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

12534460483216 is an frugal number, since it uses more digits than its factorization.

12534460483216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252908 (or 126452 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 12534460483216 by its sum of digits (49), we get a square (614188563677584 = 247828282).

12534460483216 divided by its sum of digits (49) gives a square (255805315984 = 5057722).

The spelling of 12534460483216 in words is "twelve trillion, five hundred thirty-four billion, four hundred sixty million, four hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 126443 252886 505772 885101 1011544 1770202 2023088 3540404 6195707 7080808 12391414 14161616 24782828 49565656 99131312 15987832249 31975664498 63951328996 111914825743 127902657992 223829651486 255805315984 447659302972 783403780201 895318605944 1566807560402 1790637211888 3133615120804 6267230241608 12534460483216