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2263375655964 = 22321575575631277
BaseRepresentation
bin100000111011111011101…
…100111011010000011100
322000101011112121102122200
4200323323230323100130
5244040343131442324
64451440323211500
7322344362433243
oct40737354732034
98011145542580
102263375655964
117a298a608365
123067a7b16b90
13135587791a97
147b79589595a
153dd201edec9
hex20efbb3b41c

2263375655964 has 144 divisors (see below), whose sum is σ = 5782859435808. Its totient is φ = 746393117184.

The previous prime is 2263375655951. The next prime is 2263375656043. The reversal of 2263375655964 is 4695565733622.

2263375655964 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 3 + 7 + 565 + 5 + 9 + 64 = 666.

It is a super-3 number, since 3×22633756559643 (a number of 38 digits) contains 333 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1772415694 + ... + 1772416970.

It is an arithmetic number, because the mean of its divisors is an integer number (40158746082).

Almost surely, 22263375655964 is an apocalyptic number.

It is an amenable number.

2263375655964 is an abundant number, since it is smaller than the sum of its proper divisors (3519483779844).

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

2263375655964 is a wasteful number, since it uses less digits than its factorization.

2263375655964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2559 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 63.

The spelling of 2263375655964 in words is "two trillion, two hundred sixty-three billion, three hundred seventy-five million, six hundred fifty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 557 563 628 942 1114 1126 1277 1413 1671 1689 1884 2228 2252 2554 2826 3342 3378 3831 5013 5067 5108 5652 6684 6756 7662 10026 10134 11493 15324 20052 20268 22986 45972 87449 88391 174898 176782 200489 262347 265173 313591 349796 353564 400978 524694 530346 601467 627182 711289 718951 787041 795519 801956 940773 1049388 1060692 1202934 1254364 1422578 1437902 1574082 1591038 1804401 1881546 2133867 2156853 2405868 2822319 2845156 2875804 3148164 3182076 3608802 3763092 4267734 4313706 5644638 6401601 6470559 7217604 8535468 8627412 11289276 12803202 12941118 25606404 25882236 49233787 98467574 111672373 112875307 147701361 196935148 223344746 225750614 295402722 335017119 338625921 400455707 443104083 446689492 451501228 590805444 670034238 677251842 800911414 886208166 1005051357 1015877763 1201367121 1340068476 1354503684 1601822828 1772416332 2010102714 2031755526 2402734242 3604101363 4020205428 4063511052 4805468484 7208202726 14416405452 62871545999 125743091998 188614637997 251486183996 377229275994 565843913991 754458551988 1131687827982 2263375655964