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13716616464 = 243417622577
BaseRepresentation
bin11001100011001001…
…01111010100010000
31022101221020022110000
430301210233110100
5211042423211324
610145030410000
7663624213315
oct146144572420
938357208400
1013716616464
1158a9743a71
1227a9800900
1313a79ab405
149419cad0c
155543079c9
hex33192f510

13716616464 has 100 divisors (see below), whose sum is σ = 42035221404. Its totient is φ = 4303245312.

The previous prime is 13716616457. The next prime is 13716616547. The reversal of 13716616464 is 46461661731.

13716616464 is a `hidden beast` number, since 1 + 371 + 66 + 164 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12032334864 + 1684281600 = 109692^2 + 41040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289257 + ... + 333320.

Almost surely, 213716616464 is an apocalyptic number.

It is an amenable number.

13716616464 is an abundant number, since it is smaller than the sum of its proper divisors (28318604940).

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

13716616464 is a wasteful number, since it uses less digits than its factorization.

13716616464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622614 (or 622599 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13716616464 in words is "thirteen billion, seven hundred sixteen million, six hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 622577 1245154 1867731 2490308 3735462 4980616 5603193 7470924 9961232 10583809 11206386 14941848 16809579 21167618 22412772 29883696 31751427 33619158 42335236 44825544 50428737 63502854 67238316 84670472 89651088 95254281 100857474 127005708 134476632 169340944 190508562 201714948 254011416 268953264 285762843 381017124 403429896 508022832 571525686 762034248 806859792 857288529 1143051372 1524068496 1714577058 2286102744 3429154116 4572205488 6858308232 13716616464