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3112387526416 = 247490012
BaseRepresentation
bin101101010010101000110…
…000001011111100010000
3102000112121122020011100111
4231102220300023330100
5401443132201321131
610341451110131104
7440601602320000
oct55225060137420
912015548204314
103112387526416
11a9aa57689813
12423250350a94
1319765c86901c
14aa8d7210000
1555e6124bab1
hex2d4a8c0bf10

3112387526416 has 75 divisors (see below), whose sum is σ = 7035655697493. Its totient is φ = 1333732176000.

The previous prime is 3112387526401. The next prime is 3112387526429. The reversal of 3112387526416 is 6146257832113.

The square root of 3112387526416 is 1764196.

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

It can be written as a sum of positive squares in only one way, i.e., 554435116816 + 2557952409600 = 744604^2 + 1599360^2 .

It is a super-2 number, since 2×31123875264162 (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3112387526416.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 345777916 + ... + 345786916.

Almost surely, 23112387526416 is an apocalyptic number.

3112387526416 is the 1764196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112387526416

3112387526416 is an abundant number, since it is smaller than the sum of its proper divisors (3923268171077).

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

3112387526416 is an frugal number, since it uses more digits than its factorization.

3112387526416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18038 (or 9010 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 3112387526416 by its sum of digits (49), we get a square (152506988794384 = 123493722).

3112387526416 divided by its sum of digits (49) gives a square (63518112784 = 2520282).

The spelling of 3112387526416 in words is "three trillion, one hundred twelve billion, three hundred eighty-seven million, five hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 9001 9604 18002 19208 36004 38416 63007 72008 126014 144016 252028 441049 504056 882098 1008112 1764196 3087343 3528392 6174686 7056784 12349372 21611401 24698744 43222802 49397488 81018001 86445604 162036002 172891208 324072004 345782416 567126007 648144008 1134252014 1296288016 2268504028 3969882049 4537008056 7939764098 9074016112 15879528196 27789174343 31759056392 55578348686 63518112784 111156697372 194524220401 222313394744 389048440802 444626789488 778096881604 1556193763208 3112387526416