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1361602656 = 25338291901
BaseRepresentation
bin101000100101000…
…0110100001100000
310111220002120201000
41101022012201200
510242032241111
6343035512000
745512301021
oct12112064140
93456076630
101361602656
11639653257
1231bbb8600
1318912655b
14ccb98c48
157e80cc56
hex51286860

1361602656 has 96 divisors (see below), whose sum is σ = 3978223200. Its totient is φ = 453081600.

The previous prime is 1361602639. The next prime is 1361602657. The reversal of 1361602656 is 6562061631.

1361602656 is a `hidden beast` number, since 13 + 616 + 0 + 26 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1361602656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361602657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715306 + ... + 717206.

It is an arithmetic number, because the mean of its divisors is an integer number (41439825).

Almost surely, 21361602656 is an apocalyptic number.

1361602656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361602656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989111600).

1361602656 is an abundant number, since it is smaller than the sum of its proper divisors (2616620544).

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

1361602656 is a wasteful number, since it uses less digits than its factorization.

1361602656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1361602656 is about 36899.9004876707. The cubic root of 1361602656 is about 1108.3666847534.

The spelling of 1361602656 in words is "one billion, three hundred sixty-one million, six hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 829 864 1658 1901 2487 3316 3802 4974 5703 6632 7461 7604 9948 11406 13264 14922 15208 17109 19896 22383 22812 26528 29844 30416 34218 39792 44766 45624 51327 59688 60832 68436 79584 89532 91248 102654 119376 136872 179064 182496 205308 238752 273744 358128 410616 547488 716256 821232 1575929 1642464 3151858 4727787 6303716 9455574 12607432 14183361 18911148 25214864 28366722 37822296 42550083 50429728 56733444 75644592 85100166 113466888 151289184 170200332 226933776 340400664 453867552 680801328 1361602656