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537263780064 = 253111926777501
BaseRepresentation
bin1111101000101110110…
…10101011000011100000
31220100202211120212121220
413310113122223003200
532300304011430224
61050452055215040
753546616531504
oct7642732530340
91810684525556
10537263780064
11197941440a50
1288160677480
133b88237478b
141c00a250304
15de972cd279
hex7d176ab0e0

537263780064 has 96 divisors (see below), whose sum is σ = 1619503320960. Its totient is φ = 154238400000.

The previous prime is 537263780033. The next prime is 537263780071. The reversal of 537263780064 is 460087362735.

537263780064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 537263779989 and 537263780016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13368687 + ... + 13408814.

It is an arithmetic number, because the mean of its divisors is an integer number (16869826260).

Almost surely, 2537263780064 is an apocalyptic number.

It is an amenable number.

537263780064 is an abundant number, since it is smaller than the sum of its proper divisors (1082239540896).

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

537263780064 is a wasteful number, since it uses less digits than its factorization.

537263780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26777544 (or 26777536 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 537263780064 in words is "five hundred thirty-seven billion, two hundred sixty-three million, seven hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 26777501 53555002 80332503 107110004 160665006 214220008 294552511 321330012 428440016 508772519 589105022 642660024 856880032 883657533 1017545038 1178210044 1285320048 1526317557 1767315066 2035090076 2356420088 2570640096 3052635114 3534630132 4070180152 4712840176 5596497709 6105270228 7069260264 8140360304 9425680352 11192995418 12210540456 14138520528 16280720608 16789493127 22385990836 24421080912 28277041056 33578986254 44771981672 48842161824 67157972508 89543963344 134315945016 179087926688 268631890032 537263780064