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53210031264 = 25321321093237
BaseRepresentation
bin110001100011100100…
…001010010010100000
312002100022001122200200
4301203210022102200
51332433232000024
640235551345200
73562410542325
oct614344122240
9162308048620
1053210031264
1120625748055
12a38bb22200
13502cb11400
14280abaab4c
1515b65c52c9
hexc6390a4a0

53210031264 has 108 divisors (see below), whose sum is σ = 163851231726. Its totient is φ = 16372302336.

The previous prime is 53210031253. The next prime is 53210031269. The reversal of 53210031264 is 46213001235.

53210031264 is a `hidden beast` number, since 532 + 1 + 0 + 0 + 3 + 126 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38301621264 + 14908410000 = 195708^2 + 122100^2 .

It is not an unprimeable number, because it can be changed into a prime (53210031269) 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 17 ways as a sum of consecutive naturals, for example, 497947 + ... + 595290.

Almost surely, 253210031264 is an apocalyptic number.

It is an amenable number.

53210031264 is an abundant number, since it is smaller than the sum of its proper divisors (110641200462).

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

53210031264 is a wasteful number, since it uses less digits than its factorization.

53210031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093279 (or 1093255 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 53210031264 its reverse (46213001235), we get a palindrome (99423032499).

The spelling of 53210031264 in words is "fifty-three billion, two hundred ten million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 1093237 2186474 3279711 4372948 6559422 8745896 9839133 13118844 14212081 17491792 19678266 26237688 28424162 34983584 39356532 42636243 52475376 56848324 78713064 85272486 104950752 113696648 127908729 157426128 170544972 184757053 227393296 255817458 314852256 341089944 369514106 454786592 511634916 554271159 682179888 739028212 1023269832 1108542318 1364359776 1478056424 1662813477 2046539664 2217084636 2956112848 3325626954 4093079328 4434169272 5912225696 6651253908 8868338544 13302507816 17736677088 26605015632 53210031264