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5687961456 = 2431723378191
BaseRepresentation
bin1010100110000011…
…10110011101110000
3112200101220101021010
411103001312131300
543122104231311
62340224430520
7260644606002
oct52301663560
915611811233
105687961456
1124597846a1
121128a78440
136c8544588
143bd5c4372
1523454bda6
hex153076770

5687961456 has 160 divisors (see below), whose sum is σ = 16675504128. Its totient is φ = 1660538880.

The previous prime is 5687961427. The next prime is 5687961509. The reversal of 5687961456 is 6541697865.

It is a junction number, because it is equal to n+sod(n) for n = 5687961396 and 5687961405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690321 + ... + 698511.

Almost surely, 25687961456 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 5687961456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337752064).

5687961456 is an abundant number, since it is smaller than the sum of its proper divisors (10987542672).

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

5687961456 is a wasteful number, since it uses less digits than its factorization.

5687961456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8273 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The square root of 5687961456 is about 75418.5750064266. The cubic root of 5687961456 is about 1785.0575198218.

The spelling of 5687961456 in words is "five billion, six hundred eighty-seven million, nine hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 37 46 48 51 68 69 74 92 102 111 136 138 148 184 204 222 272 276 296 368 391 408 444 552 592 629 782 816 851 888 1104 1173 1258 1564 1702 1776 1887 2346 2516 2553 3128 3404 3774 4692 5032 5106 6256 6808 7548 8191 9384 10064 10212 13616 14467 15096 16382 18768 20424 24573 28934 30192 32764 40848 43401 49146 57868 65528 86802 98292 115736 131056 139247 173604 188393 196584 231472 278494 303067 347208 376786 393168 417741 556988 565179 606134 694416 753572 835482 909201 1113976 1130358 1212268 1507144 1670964 1818402 2227952 2260716 2424536 3014288 3202681 3341928 3636804 4521432 4849072 5152139 6405362 6683856 6970541 7273608 9042864 9608043 10304278 12810724 13941082 14547216 15456417 19216086 20608556 20911623 25621448 27882164 30912834 38432172 41217112 41823246 51242896 55764328 61825668 76864344 82434224 83646492 111528656 118499197 123651336 153728688 167292984 236998394 247302672 334585968 355497591 473996788 710995182 947993576 1421990364 1895987152 2843980728 5687961456