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23478851808 = 253467135197
BaseRepresentation
bin10101110111011100…
…101101100011100000
32020121021121020210000
4111313130231203200
5341041041224213
614441441140000
71460553642666
oct256734554340
966537536700
1023478851808
119a59221965
12467302a600
1322a234b329
1411ca33ac36
1592639bc73
hex57772d8e0

23478851808 has 120 divisors (see below), whose sum is σ = 70081776072. Its totient is φ = 7709416704.

The previous prime is 23478851807. The next prime is 23478851933. The reversal of 23478851808 is 80815887432.

23478851808 is a `hidden beast` number, since 2 + 3 + 47 + 88 + 518 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23478851807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106066 + ... + 241262.

Almost surely, 223478851808 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 23478851808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35040888036).

23478851808 is an abundant number, since it is smaller than the sum of its proper divisors (46602924264).

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

23478851808 is a wasteful number, since it uses less digits than its factorization.

23478851808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135286 (or 135269 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 23478851808 in words is "twenty-three billion, four hundred seventy-eight million, eight hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 268 288 324 402 432 536 603 648 804 864 1072 1206 1296 1608 1809 2144 2412 2592 3216 3618 4824 5427 6432 7236 9648 10854 14472 19296 21708 28944 43416 57888 86832 135197 173664 270394 405591 540788 811182 1081576 1216773 1622364 2163152 2433546 3244728 3650319 4326304 4867092 6489456 7300638 9058199 9734184 10950957 12978912 14601276 18116398 19468368 21901914 27174597 29202552 36232796 38936736 43803828 54349194 58405104 72465592 81523791 87607656 108698388 116810208 144931184 163047582 175215312 217396776 244571373 289862368 326095164 350430624 434793552 489142746 652190328 733714119 869587104 978285492 1304380656 1467428238 1956570984 2608761312 2934856476 3913141968 5869712952 7826283936 11739425904 23478851808