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11628468282916 = 221061216072
BaseRepresentation
bin1010100100110111011010…
…1110001010011000100100
31112011200002221121100100101
42221031312232022120210
53011010100340023131
640422013343553444
72310062166352612
oct251156656123044
945150087540311
1011628468282916
113783673212851
1213798125bb884
13664737cca984
142c2b6c6666b2
1515273a93dc61
hexa9376b8a624

11628468282916 has 27 divisors (see below), whose sum is σ = 20381700490417. Its totient is φ = 5805139527440.

The previous prime is 11628468282887. The next prime is 11628468282973. The reversal of 11628468282916 is 61928286482611.

The square root of 11628468282916 is 3410054.

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., 7657694700516 + 3970773582400 = 2767254^2 + 1992680^2 .

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, 7236133785 + ... + 7236135391.

Almost surely, 211628468282916 is an apocalyptic number.

11628468282916 is the 3410054-th square number.

It is an amenable number.

11628468282916 is a deficient number, since it is larger than the sum of its proper divisors (8753232207501).

11628468282916 is an frugal number, since it uses more digits than its factorization.

11628468282916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 2670 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

Multiplying 11628468282916 by its sum of digits (64), we get a square (744221970106624 = 272804322).

The spelling of 11628468282916 in words is "eleven trillion, six hundred twenty-eight billion, four hundred sixty-eight million, two hundred eighty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 1061 1607 2122 3214 4244 6428 1125721 1705027 2251442 2582449 3410054 4502884 5164898 6820108 10329796 1809033647 2739978389 3618067294 5479956778 7236134588 10959913556 2907117070729 5814234141458 11628468282916