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5655716026848 = 2532791991249151
BaseRepresentation
bin101001001001101001011…
…1100011101100111100000
3202000200101120111121021100
41102103102330131213200
51220130401300324343
620010111114354400
71122416626012206
oct122232274354740
922020346447240
105655716026848
111890637286738
12774147a2ba00
13320440a812a4
14157a49569076
159c1b8b769d3
hex524d2f1d9e0

5655716026848 has 144 divisors (see below), whose sum is σ = 16368887808000. Its totient is φ = 1852019769600.

The previous prime is 5655716026819. The next prime is 5655716026879. The reversal of 5655716026848 is 8486206175565.

5655716026848 is a `hidden beast` number, since 5 + 6 + 557 + 16 + 0 + 2 + 68 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3903073 + ... + 5152223.

It is an arithmetic number, because the mean of its divisors is an integer number (113672832000).

Almost surely, 25655716026848 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 5655716026848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184443904000).

5655716026848 is an abundant number, since it is smaller than the sum of its proper divisors (10713171781152).

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

5655716026848 is a wasteful number, since it uses less digits than its factorization.

5655716026848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249445 (or 1249434 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5655716026848 in words is "five trillion, six hundred fifty-five billion, seven hundred sixteen million, twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 199 237 288 316 398 474 597 632 711 796 948 1194 1264 1422 1592 1791 1896 2388 2528 2844 3184 3582 3792 4776 5688 6368 7164 7584 9552 11376 14328 15721 19104 22752 28656 31442 47163 57312 62884 94326 125768 141489 188652 251536 282978 377304 503072 565956 754608 1131912 1249151 1509216 2263824 2498302 3747453 4527648 4996604 7494906 9993208 11242359 14989812 19986416 22484718 29979624 39972832 44969436 59959248 89938872 98682929 119918496 179877744 197365858 248581049 296048787 359755488 394731716 497162098 592097574 745743147 789463432 888146361 994324196 1184195148 1491486294 1578926864 1776292722 1988648392 2237229441 2368390296 2982972588 3157853728 3552585444 3977296784 4474458882 4736780592 5965945176 7105170888 7954593568 8948917764 9473561184 11931890352 14210341776 17897835528 19637902871 23863780704 28420683552 35795671056 39275805742 58913708613 71591342112 78551611484 117827417226 157103222968 176741125839 235654834452 314206445936 353482251678 471309668904 628412891872 706964503356 942619337808 1413929006712 1885238675616 2827858013424 5655716026848