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283730936896 = 2611260532
BaseRepresentation
bin1000010000011111010…
…11101000010001000000
31000010100200210222202101
410020033223220101000
514122040104440041
6334202202400144
726333055112441
oct4101753502100
91003320728671
10283730936896
11aa369798400
1246ba4b00054
13209a93ba154
14da385712c8
1575a926ab31
hex420fae8440

283730936896 has 63 divisors (see below), whose sum is σ = 618968380933. Its totient is φ = 128947301120.

The previous prime is 283730936891. The next prime is 283730936903. The reversal of 283730936896 is 698639037382.

The square root of 283730936896 is 532664.

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., 20701454400 + 263029482496 = 143880^2 + 512864^2 .

It is a super-2 number, since 2×2837309368962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (283730936891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46871406 + ... + 46877458.

Almost surely, 2283730936896 is an apocalyptic number.

283730936896 is the 532664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283730936896

283730936896 is an abundant number, since it is smaller than the sum of its proper divisors (335237444037).

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

283730936896 is an frugal number, since it uses more digits than its factorization.

283730936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

Multiplying 283730936896 by its sum of digits (64), we get a square (18158779961344 = 42613122).

283730936896 divided by its sum of digits (64) gives a square (4433295889 = 665832).

The spelling of 283730936896 in words is "two hundred eighty-three billion, seven hundred thirty million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 6053 7744 12106 24212 48424 66583 96848 133166 193696 266332 387392 532664 732413 1065328 1464826 2130656 2929652 4261312 5859304 11718608 23437216 36638809 46874432 73277618 146555236 293110472 403026899 586220944 806053798 1172441888 1612107596 2344883776 3224215192 4433295889 6448430384 8866591778 12896860768 17733183556 25793721536 35466367112 70932734224 141865468448 283730936896