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42464263680 = 293251843067
BaseRepresentation
bin100111100011000100…
…010011111000000000
311001121102000002202200
4213203010103320000
51143431322414210
631301404313200
73032206200006
oct474304237000
9131542002680
1042464263680
1117010a738a3
128291242800
13400977ba57
1420ab998a76
1511880040c0
hex9e3113e00

42464263680 has 120 divisors (see below), whose sum is σ = 147065767992. Its totient is φ = 11323797504.

The previous prime is 42464263657. The next prime is 42464263717. The reversal of 42464263680 is 8636246424.

42464263680 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 4 + 2 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898494 + ... + 944573.

Almost surely, 242464263680 is an apocalyptic number.

42464263680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42464263680 is an abundant number, since it is smaller than the sum of its proper divisors (104601504312).

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

42464263680 is a wasteful number, since it uses less digits than its factorization.

42464263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843096 (or 1843077 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 42464263680 in words is "forty-two billion, four hundred sixty-four million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 1843067 3686134 5529201 7372268 9215335 11058402 14744536 16587603 18430670 22116804 27646005 29489072 33175206 36861340 44233608 55292010 58978144 66350412 73722680 82938015 88467216 110584020 117956288 132700824 147445360 165876030 176934432 221168040 235912576 265401648 294890720 331752060 353868864 442336080 471825152 530803296 589781440 663504120 707737728 884672160 943650304 1061606592 1179562880 1327008240 1415475456 1769344320 2123213184 2359125760 2654016480 2830950912 3538688640 4246426368 4718251520 5308032960 7077377280 8492852736 10616065920 14154754560 21232131840 42464263680