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7604997536656 = 2413218122932
BaseRepresentation
bin110111010101010110100…
…1011010011101110010000
3222221000211100120012100201
41232222231023103232100
51444100013332133111
624101404310224544
71413304633323022
oct156525513235620
928830740505321
107604997536656
112472296936123
12a29a96355154
134321c0761400
141c41260da012
15d2c541886c1
hex6eaad2d3b90

7604997536656 has 135 divisors (see below), whose sum is σ = 16098889600377. Its totient is φ = 3478693271040.

The previous prime is 7604997536629. The next prime is 7604997536663. The reversal of 7604997536656 is 6566357994067.

The square root of 7604997536656 is 2757716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7080473959056 + 524523577600 = 2660916^2 + 724240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25955622846 + ... + 25955623138.

Almost surely, 27604997536656 is an apocalyptic number.

7604997536656 is the 2757716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7604997536656

7604997536656 is an abundant number, since it is smaller than the sum of its proper divisors (8493892063721).

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

7604997536656 is an equidigital number, since it uses as much as digits as its factorization.

7604997536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 73.

The spelling of 7604997536656 in words is "seven trillion, six hundred four billion, nine hundred ninety-seven million, five hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 181 208 293 338 362 586 676 724 1172 1352 1448 2344 2353 2704 2896 3809 4688 4706 7618 9412 15236 18824 30472 30589 32761 37648 49517 53033 60944 61178 65522 85849 99034 106066 122356 131044 171698 198068 212132 244712 262088 343396 396136 424264 425893 489424 524176 686792 689429 792272 848528 851786 1116037 1373584 1378858 1703572 2232074 2757716 3407144 4464148 5515432 5536609 6814288 8928296 8962577 9598973 11030864 11073218 14508481 15538669 17856592 17925154 19197946 22146436 29016962 31077338 35850308 38395892 44292872 58033924 62154676 71700616 76791784 88585744 116067848 124309352 124786649 143401232 153583568 202002697 232135696 248618704 249573298 404005394 499146596 808010788 998293192 1616021576 1622226437 1996586384 2626035061 2812499089 3232043152 3244452874 5252070122 5624998178 6488905748 10504140244 11249996356 12977811496 21008280488 22499992712 25955622992 36562488157 42016560976 44999985424 73124976314 146249952628 292499905256 475312346041 584999810512 950624692082 1901249384164 3802498768328 7604997536656