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55968964416 = 263379409993
BaseRepresentation
bin110100001000000000…
…101001111101000000
312100110120110222111000
4310020000221331000
51404111023330131
641413425052000
74020651230241
oct641000517500
9170416428430
1055968964416
11218110263a2
12aa1ba87000
13537c590331
1429cd380cc8
1516c88ebce6
hexd08029f40

55968964416 has 112 divisors (see below), whose sum is σ = 166621561600. Its totient is φ = 18420120576.

The previous prime is 55968964409. The next prime is 55968964423. The reversal of 55968964416 is 61446986955.

55968964416 is a `hidden beast` number, since 55 + 96 + 89 + 6 + 4 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (55968964409) and next prime (55968964423).

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, 68485 + ... + 341508.

Almost surely, 255968964416 is an apocalyptic number.

It is an amenable number.

55968964416 is an abundant number, since it is smaller than the sum of its proper divisors (110652597184).

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

55968964416 is a wasteful number, since it uses less digits than its factorization.

55968964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410093 (or 410077 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 55968964416 in words is "fifty-five billion, nine hundred sixty-eight million, nine hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 34128 45504 68256 136512 409993 819986 1229979 1639972 2459958 3279944 3689937 4919916 6559888 7379874 9839832 11069811 13119776 14759748 19679664 22139622 26239552 29519496 32389447 39359328 44279244 59038992 64778894 78718656 88558488 97168341 118077984 129557788 177116976 194336682 236155968 259115576 291505023 354233952 388673364 518231152 583010046 708467904 777346728 874515069 1036462304 1166020092 1554693456 1749030138 2072924608 2332040184 3109386912 3498060276 4664080368 6218773824 6996120552 9328160736 13992241104 18656321472 27984482208 55968964416