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45263455488 = 283224181517
BaseRepresentation
bin101010001001111010…
…011000010100000000
311022211111011210001100
4222021322120110000
51220144421033423
632443240534400
73161446011036
oct521172302400
9138744153040
1045263455488
111821804a059
128932781400
134364685174
14229564c556
15129db2e343
hexa89e98500

45263455488 has 108 divisors (see below), whose sum is σ = 131048825908. Its totient is φ = 15025029120.

The previous prime is 45263455487. The next prime is 45263455511. The reversal of 45263455488 is 88455436254.

45263455488 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 3 + 4 + 554 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13874955264 + 31388500224 = 117792^2 + 177168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263455487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514506 + ... + 596022.

Almost surely, 245263455488 is an apocalyptic number.

45263455488 is a gapful number since it is divisible by the number (48) 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 45263455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524412954).

45263455488 is an abundant number, since it is smaller than the sum of its proper divisors (85785370420).

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

45263455488 is a wasteful number, since it uses less digits than its factorization.

45263455488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81780 (or 81763 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 45263455488 in words is "forty-five billion, two hundred sixty-three million, four hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 576 723 768 964 1152 1446 1928 2169 2304 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 30848 34704 46272 61696 69408 81517 92544 138816 163034 185088 244551 277632 326068 489102 555264 652136 733653 978204 1304272 1467306 1956408 2608544 2934612 3912816 5217088 5869224 7825632 10434176 11738448 15651264 19645597 20868352 23476896 31302528 39291194 46953792 58936791 62605056 78582388 93907584 117873582 157164776 176810373 187815168 235747164 314329552 353620746 471494328 628659104 707241492 942988656 1257318208 1414482984 1885977312 2514636416 2828965968 3771954624 5029272832 5657931936 7543909248 11315863872 15087818496 22631727744 45263455488