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18875214648 = 23331713139239
BaseRepresentation
bin10001100101000011…
…001110101100111000
31210201110001020211000
4101211003032230320
5302124023332043
612400545205000
71235513451213
oct214503165470
953643036730
1018875214648
118006626154
1237a9330760
131a1a659684
14cb0b7477a
1575713b2d3
hex4650ceb38

18875214648 has 128 divisors (see below), whose sum is σ = 55940544000. Its totient is φ = 5876282880.

The previous prime is 18875214641. The next prime is 18875214697. The reversal of 18875214648 is 84641257881.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18875214594 and 18875214603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18875214641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461413 + ... + 500651.

It is an arithmetic number, because the mean of its divisors is an integer number (437035500).

Almost surely, 218875214648 is an apocalyptic number.

18875214648 is a gapful number since it is divisible by the number (18) 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 18875214648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970272000).

18875214648 is an abundant number, since it is smaller than the sum of its proper divisors (37065329352).

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

18875214648 is a wasteful number, since it uses less digits than its factorization.

18875214648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39402 (or 39392 counting only the distinct ones).

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

The spelling of 18875214648 in words is "eighteen billion, eight hundred seventy-five million, two hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 131 136 153 204 216 262 306 393 408 459 524 612 786 918 1048 1179 1224 1572 1836 2227 2358 3144 3537 3672 4454 4716 6681 7074 8908 9432 13362 14148 17816 20043 26724 28296 39239 40086 53448 60129 78478 80172 117717 120258 156956 160344 235434 240516 313912 353151 470868 481032 667063 706302 941736 1059453 1334126 1412604 2001189 2118906 2668252 2825208 4002378 4237812 5140309 5336504 6003567 8004756 8475624 10280618 12007134 15420927 16009512 18010701 20561236 24014268 30841854 36021402 41122472 46262781 48028536 61683708 72042804 87385253 92525562 123367416 138788343 144085608 174770506 185051124 262155759 277576686 349541012 370102248 524311518 555153372 699082024 786467277 1048623036 1110306744 1572934554 2097246072 2359401831 3145869108 4718803662 6291738216 9437607324 18875214648