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3900018850344 = 2332414957266521
BaseRepresentation
bin111000110000001011001…
…111001111101000101000
3111210211122000112001111100
4320300023033033220220
51002344214311202334
612143351031001400
7551524050154641
oct70601317175050
914724560461440
103900018850344
111273a96a71071
1252ba24509260
13223a02189056
14d6a949c86c8
156b6ad745c99
hex38c0b3cfa28

3900018850344 has 96 divisors (see below), whose sum is σ = 10822397662440. Its totient is φ = 1268038195200.

The previous prime is 3900018850339. The next prime is 3900018850381. The reversal of 3900018850344 is 4430588100093.

3900018850344 is a `hidden beast` number, since 3 + 90 + 0 + 0 + 18 + 8 + 503 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3801868226244 + 98150624100 = 1949838^2 + 313290^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3900018850344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14499804 + ... + 14766324.

Almost surely, 23900018850344 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 3900018850344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411198831220).

3900018850344 is an abundant number, since it is smaller than the sum of its proper divisors (6922378812096).

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

3900018850344 is a wasteful number, since it uses less digits than its factorization.

3900018850344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271531 (or 271524 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3900018850344 in words is "three trillion, nine hundred billion, eighteen million, eight hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4957 9914 14871 19828 29742 39656 44613 59484 89226 118968 178452 203237 266521 356904 406474 533042 609711 799563 812948 1066084 1219422 1599126 1625896 1829133 2132168 2398689 2438844 3198252 3658266 4797378 4877688 6396504 7316532 9594756 10927361 14633064 19189512 21854722 32782083 43709444 65564166 87418888 98346249 131128332 196692498 262256664 393384996 786769992 1321144597 2642289194 3963433791 5284578388 7926867582 10569156776 11890301373 15853735164 23780602746 31707470328 47561205492 54166928477 95122410984 108333856954 162500785431 216667713908 325001570862 433335427816 487502356293 650003141724 975004712586 1300006283448 1950009425172 3900018850344