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187104008240 = 24523190753323
BaseRepresentation
bin1010111001000001000…
…1001001100000110000
3122212221121012102111222
42232100101021200300
511031142111230430
6221542052124212
716342416554252
oct2562021114060
9585847172458
10187104008240
1172394375776
1230318906668
131484a665516
1490ad4abcd2
154d012199e5
hex2b90449830

187104008240 has 80 divisors (see below), whose sum is σ = 454177145088. Its totient is φ = 71548739328.

The previous prime is 187104008209. The next prime is 187104008249. The reversal of 187104008240 is 42800401781.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 187104008240.

It is not an unprimeable number, because it can be changed into a prime (187104008249) by changing a digit.

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, 3482219 + ... + 3535541.

Almost surely, 2187104008240 is an apocalyptic number.

187104008240 is a gapful number since it is divisible by the number (10) 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 187104008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227088572544).

187104008240 is an abundant number, since it is smaller than the sum of its proper divisors (267073136848).

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

187104008240 is a wasteful number, since it uses less digits than its factorization.

187104008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55266 (or 55260 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 187104008240 in words is "one hundred eighty-seven billion, one hundred four million, eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1907 3814 7628 9535 15256 19070 30512 38140 43861 53323 76280 87722 106646 152560 175444 213292 219305 266615 350888 426584 438610 533230 701776 853168 877220 1066460 1226429 1754440 2132920 2452858 3508880 4265840 4905716 6132145 9811432 12264290 19622864 24528580 49057160 98114320 101686961 203373922 406747844 508434805 813495688 1016869610 1626991376 2033739220 2338800103 4067478440 4677600206 8134956880 9355200412 11694000515 18710400824 23388001030 37420801648 46776002060 93552004120 187104008240