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15238904919616 = 2672697092
BaseRepresentation
bin1101110111000001010110…
…0000111011011001000000
31222221211021111002202100201
43131300111200323121000
53444133234124411431
652224353431054544
73131655161411200
oct335602540733100
958854244082321
1015238904919616
114945868605704
12186149a511454
1386703a773841
143a97d1946400
151b65eb3ac461
hexddc1583b640

15238904919616 has 63 divisors (see below), whose sum is σ = 35177300776449. Its totient is φ = 6530865562368.

The previous prime is 15238904919611. The next prime is 15238904919709. The reversal of 15238904919616 is 61691940983251.

The square root of 15238904919616 is 3903704.

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., 126093169216 + 15112811750400 = 355096^2 + 3887520^2 .

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 (15238904919611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 218572570 + ... + 218642278.

Almost surely, 215238904919616 is an apocalyptic number.

15238904919616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15238904919616 is the 3903704-th square number.

It is an amenable number.

15238904919616 is an abundant number, since it is smaller than the sum of its proper divisors (19938395856833).

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

15238904919616 is an frugal number, since it uses more digits than its factorization.

15238904919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139444 (or 69718 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

Multiplying 15238904919616 by its sum of digits (64), we get a square (975289914855424 = 312296322).

15238904919616 divided by its sum of digits (64) gives a square (238107889369 = 4879632).

The spelling of 15238904919616 in words is "fifteen trillion, two hundred thirty-eight billion, nine hundred four million, nine hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 69709 139418 278836 487963 557672 975926 1115344 1951852 2230688 3415741 3903704 4461376 6831482 7807408 13662964 15614816 27325928 31229632 54651856 109303712 218607424 4859344681 9718689362 19437378724 34015412767 38874757448 68030825534 77749514896 136061651068 155499029792 238107889369 272123302136 310998059584 476215778738 544246604272 952431557476 1088493208544 1904863114952 2176986417088 3809726229904 7619452459808 15238904919616