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536567970064 = 2472261612
BaseRepresentation
bin1111100111011011111…
…00010111100100010000
31220021222100022001202011
413303231330113210100
532242342400020224
61050255041432304
753523440331100
oct7635574274420
91807870261664
10536567970064
111976146a3665
1287ba763b694
133b7a1171599
141bd81a87200
15de56187394
hex7cedf17910

536567970064 has 45 divisors (see below), whose sum is σ = 1209377354661. Its totient is φ = 229948911360.

The previous prime is 536567970053. The next prime is 536567970079. The reversal of 536567970064 is 460079765635.

It is a happy number.

The square root of 536567970064 is 732508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 133292168464 + 403275801600 = 365092^2 + 635040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 536567969990 and 536567970008.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20497144 + ... + 20523304.

Almost surely, 2536567970064 is an apocalyptic number.

536567970064 is the 732508-th square number.

It is an amenable number.

536567970064 is an abundant number, since it is smaller than the sum of its proper divisors (672809384597).

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

536567970064 is an frugal number, since it uses more digits than its factorization.

536567970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52344 (or 26170 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 536567970064 in words is "five hundred thirty-six billion, five hundred sixty-seven million, nine hundred seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 26161 52322 104644 183127 209288 366254 418576 732508 1281889 1465016 2563778 2930032 5127556 10255112 20510224 684397921 1368795842 2737591684 4790785447 5475183368 9581570894 10950366736 19163141788 33535498129 38326283576 67070996258 76652567152 134141992516 268283985032 536567970064