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23678394880 = 29576611999
BaseRepresentation
bin10110000011010101…
…111010001000000000
32021010012002002102011
4112003111322020000
5341443132114010
614513330102304
71465526015140
oct260325721000
967105062364
1023678394880
11a050922598
124709a1a994
1323047a565a
141208a40920
15938b65a8a
hex58357a200

23678394880 has 160 divisors (see below), whose sum is σ = 65013696000. Its totient is φ = 8101969920.

The previous prime is 23678394877. The next prime is 23678394899. The reversal of 23678394880 is 8849387632.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11844121 + ... + 11846119.

It is an arithmetic number, because the mean of its divisors is an integer number (406335600).

Almost surely, 223678394880 is an apocalyptic number.

23678394880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23678394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506848000).

23678394880 is an abundant number, since it is smaller than the sum of its proper divisors (41335301120).

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

23678394880 is an equidigital number, since it uses as much as digits as its factorization.

23678394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 23678394880 in words is "twenty-three billion, six hundred seventy-eight million, three hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 661 896 1120 1280 1322 1792 1999 2240 2560 2644 3305 3584 3998 4480 4627 5288 6610 7996 8960 9254 9995 10576 13220 13993 15992 17920 18508 19990 21152 23135 26440 27986 31984 37016 39980 42304 46270 52880 55972 63968 69965 74032 79960 84608 92540 105760 111944 127936 139930 148064 159920 169216 185080 211520 223888 255872 279860 296128 319840 338432 370160 423040 447776 511744 559720 592256 639680 740320 846080 895552 1023488 1119440 1184512 1279360 1321339 1480640 1692160 1791104 2238880 2369024 2558720 2642678 2961280 3582208 4477760 5117440 5285356 5922560 6606695 7164416 8955520 9249373 10570712 11845120 13213390 17911040 18498746 21141424 26426780 35822080 36997492 42282848 46246865 52853560 73994984 84565696 92493730 105707120 147989968 169131392 184987460 211414240 295979936 338262784 369974920 422828480 591959872 676525568 739949840 845656960 1183919744 1479899680 1691313920 2367839488 2959799360 3382627840 4735678976 5919598720 11839197440 23678394880