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18761785420 = 22572117116349
BaseRepresentation
bin10001011110010010…
…100010000001001100
31210102112121110011111
4101132102202001030
5301411004113140
612341414101404
71232635354600
oct213622420114
953375543144
1018761785420
117a585a2094
12377734a864
1319cccc34a1
14c9da89500
1574c1d27ea
hex45e4a204c

18761785420 has 72 divisors (see below), whose sum is σ = 45874306800. Its totient is φ = 6426725760.

The previous prime is 18761785411. The next prime is 18761785421. The reversal of 18761785420 is 2458716781.

It is a super-2 number, since 2×187617854202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (18761785421) 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 23 ways as a sum of consecutive naturals, for example, 1139406 + ... + 1155754.

It is an arithmetic number, because the mean of its divisors is an integer number (637143150).

Almost surely, 218761785420 is an apocalyptic number.

18761785420 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 18761785420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937153400).

18761785420 is an abundant number, since it is smaller than the sum of its proper divisors (27112521380).

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

18761785420 is a wasteful number, since it uses less digits than its factorization.

18761785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

The spelling of 18761785420 in words is "eighteen billion, seven hundred sixty-one million, seven hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1171 2342 4684 5855 8197 11710 16349 16394 23420 32698 32788 40985 57379 65396 81745 81970 114443 114758 163490 163940 228886 229516 286895 326980 457772 572215 573790 801101 1144430 1147580 1602202 2288860 3204404 4005505 8011010 16022020 19144679 38289358 76578716 95723395 134012753 191446790 268025506 382893580 536051012 670063765 938089271 1340127530 1876178542 2680255060 3752357084 4690446355 9380892710 18761785420