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2381581418920 = 235117397324337
BaseRepresentation
bin100010101010000001010…
…100001000000110101000
322102200021111121100122021
4202222001110020012220
5303004434320401140
65022030003034224
7334030544022664
oct42520124100650
98380244540567
102381581418920
11839028694650
1232569696b974
13143775026212
14833aa7c58a4
1541e3c8d8b4a
hex22a815081a8

2381581418920 has 64 divisors (see below), whose sum is σ = 5853610929600. Its totient is φ = 864857594880.

The previous prime is 2381581418869. The next prime is 2381581418933. The reversal of 2381581418920 is 298141851832.

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, 3337009 + ... + 3987328.

It is an arithmetic number, because the mean of its divisors is an integer number (91462670775).

Almost surely, 22381581418920 is an apocalyptic number.

2381581418920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2381581418920 is an abundant number, since it is smaller than the sum of its proper divisors (3472029510680).

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

2381581418920 is a wasteful number, since it uses less digits than its factorization.

2381581418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325098 (or 7325094 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 2381581418920 in words is "two trillion, three hundred eighty-one billion, five hundred eighty-one million, four hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 739 1478 2956 3695 5912 7390 8129 14780 16258 29560 32516 40645 65032 81290 162580 325160 7324337 14648674 29297348 36621685 58594696 73243370 80567707 146486740 161135414 292973480 322270828 402838535 644541656 805677070 1611354140 3222708280 5412685043 10825370086 21650740172 27063425215 43301480344 54126850430 59539535473 108253700860 119079070946 216507401720 238158141892 297697677365 476316283784 595395354730 1190790709460 2381581418920