Search a number
-
+
53295051456 = 2632877105503
BaseRepresentation
bin110001101000101000…
…011111001011000000
312002120020001010110200
4301220220133023000
51333122013121311
640252225525200
73564462314523
oct615050371300
9162506033420
1053295051456
1120669737a79
12a3b44a3800
13504460b80a
1428181bcbba
1515bdcbb556
hexc68a1f2c0

53295051456 has 84 divisors (see below), whose sum is σ = 152936277312. Its totient is φ = 17744592384.

The previous prime is 53295051421. The next prime is 53295051487. The reversal of 53295051456 is 65415059235.

53295051456 is a `hidden beast` number, since 5 + 32 + 9 + 50 + 514 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452401 + ... + 557903.

It is an arithmetic number, because the mean of its divisors is an integer number (1820669968).

Almost surely, 253295051456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53295051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76468138656).

53295051456 is an abundant number, since it is smaller than the sum of its proper divisors (99641225856).

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

53295051456 is a wasteful number, since it uses less digits than its factorization.

53295051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106398 (or 106385 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 53295051456 in words is "fifty-three billion, two hundred ninety-five million, fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 877 1754 2631 3508 5262 7016 7893 10524 14032 15786 21048 28064 31572 42096 56128 63144 84192 105503 126288 168384 211006 252576 316509 422012 505152 633018 844024 949527 1266036 1688048 1899054 2532072 3376096 3798108 5064144 6752192 7596216 10128288 15192432 20256576 30384864 60769728 92526131 185052262 277578393 370104524 555156786 740209048 832735179 1110313572 1480418096 1665470358 2220627144 2960836192 3330940716 4441254288 5921672384 6661881432 8882508576 13323762864 17765017152 26647525728 53295051456