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11869706219536 = 24112783012
BaseRepresentation
bin1010110010111010000110…
…0111110111000000010000
31120000201210020100021010201
42230232201213313000100
53023433124243011121
641124511234104544
72333362246111234
oct254564147670020
946021706307121
1011869706219536
113866a0679a100
1213b851871b154
136814019b7179
142d06d54bc5c4
15158b593cae91
hexacba19f7010

11869706219536 has 45 divisors (see below), whose sum is σ = 25278627975069. Its totient is φ = 5395252104000.

The previous prime is 11869706219491. The next prime is 11869706219561. The reversal of 11869706219536 is 63591260796811.

The square root of 11869706219536 is 3445244.

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., 1101332709136 + 10768373510400 = 1049444^2 + 3281520^2 .

It is a Duffinian number.

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, 151551586 + ... + 151629886.

Almost surely, 211869706219536 is an apocalyptic number.

11869706219536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11869706219536 is the 3445244-th square number.

It is an amenable number.

11869706219536 is an abundant number, since it is smaller than the sum of its proper divisors (13408921755533).

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

11869706219536 is an frugal number, since it uses more digits than its factorization.

11869706219536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156632 (or 78314 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 11869706219536 by its sum of digits (64), we get a square (759661198050304 = 275619522).

The spelling of 11869706219536 in words is "eleven trillion, eight hundred sixty-nine billion, seven hundred six million, two hundred nineteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 78301 156602 313204 626408 861311 1252816 1722622 3445244 6890488 9474421 13780976 18948842 37897684 75795368 151590736 6131046601 12262093202 24524186404 49048372808 67441512611 98096745616 134883025222 269766050444 539532100888 741856638721 1079064201776 1483713277442 2967426554884 5934853109768 11869706219536