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18917289984 = 21237121683
BaseRepresentation
bin10001100111100011…
…101111000000000000
31210211101012220022210
4101213203233000000
5302220311234414
612405051102120
71236534211635
oct214743570000
953741186283
1018917289984
118028353a5a
1237bb441940
131a2629ba18
14cb65a818c
1575ab9ce59
hex4678ef000

18917289984 has 104 divisors (see below), whose sum is σ = 51152729472. Its totient is φ = 6216663040.

The previous prime is 18917289983. The next prime is 18917290013. The reversal of 18917289984 is 48998271981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18917289983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861607 + ... + 883289.

It is an arithmetic number, because the mean of its divisors is an integer number (491853168).

Almost surely, 218917289984 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 18917289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576364736).

18917289984 is an abundant number, since it is smaller than the sum of its proper divisors (32235439488).

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

18917289984 is an equidigital number, since it uses as much as digits as its factorization.

18917289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21781 (or 21759 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 66.

The spelling of 18917289984 in words is "eighteen billion, nine hundred seventeen million, two hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2048 2272 3072 3408 4096 4544 6144 6816 9088 12288 13632 18176 21683 27264 36352 43366 54528 65049 72704 86732 109056 130098 145408 173464 218112 260196 290816 346928 436224 520392 693856 872448 1040784 1387712 1539493 2081568 2775424 3078986 4163136 4618479 5550848 6157972 8326272 9236958 11101696 12315944 16652544 18473916 22203392 24631888 33305088 36947832 44406784 49263776 66610176 73895664 88813568 98527552 133220352 147791328 197055104 266440704 295582656 394110208 591165312 788220416 1182330624 1576440832 2364661248 3152881664 4729322496 6305763328 9458644992 18917289984