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61660247472 = 243213114332281
BaseRepresentation
bin111001011011001111…
…001011010110110000
312220011012122010010100
4321123033023112300
52002240010404342
644154253032400
74311666312225
oct713317132660
9186135563110
1061660247472
112417166960a
12bb49a85700
135a786c8745
142dad18b94c
15190d3a2e4c
hexe5b3cb5b0

61660247472 has 120 divisors (see below), whose sum is σ = 174077952048. Its totient is φ = 20373350400.

The previous prime is 61660247459. The next prime is 61660247479. The reversal of 61660247472 is 27474206616.

61660247472 is a `hidden beast` number, since 616 + 6 + 0 + 24 + 7 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×616602474722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61660247479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27030972 + ... + 27033252.

Almost surely, 261660247472 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 61660247472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87038976024).

61660247472 is an abundant number, since it is smaller than the sum of its proper divisors (112417704576).

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

61660247472 is a wasteful number, since it uses less digits than its factorization.

61660247472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 61660247472 in words is "sixty-one billion, six hundred sixty million, two hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1433 1572 2096 2281 2358 2866 3144 4299 4562 4716 5732 6288 6843 8598 9124 9432 11464 12897 13686 17196 18248 18864 20529 22928 25794 27372 34392 36496 41058 51588 54744 68784 82116 103176 109488 164232 187723 206352 298811 328464 375446 563169 597622 750892 896433 1126338 1195244 1501784 1689507 1792866 2252676 2390488 2689299 3003568 3268673 3379014 3585732 4505352 4780976 5378598 6537346 6758028 7171464 9010704 9806019 10757196 13074692 13516056 14342928 19612038 21514392 26149384 27032112 29418057 39224076 43028784 52298768 58836114 78448152 117672228 156896304 235344456 428196163 470688912 856392326 1284588489 1712784652 2569176978 3425569304 3853765467 5138353956 6851138608 7707530934 10276707912 15415061868 20553415824 30830123736 61660247472