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253998441216 = 2832138480183
BaseRepresentation
bin1110110010001101111…
…1001010001100000000
3220021121120212201022200
43230203133022030000
513130142100104331
6312404004033200
724231214061532
oct3544337121400
9807546781280
10253998441216
11987a1553323
1241287692800
131ac4b585c40
14c41787b852
156918d825e6
hex3b237ca300

253998441216 has 108 divisors (see below), whose sum is σ = 788674072368. Its totient is φ = 78153357312.

The previous prime is 253998441187. The next prime is 253998441223. The reversal of 253998441216 is 612144899352.

It is a happy number.

253998441216 is a `hidden beast` number, since 2 + 53 + 99 + 84 + 412 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210140 + ... + 4270043.

Almost surely, 2253998441216 is an apocalyptic number.

253998441216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

253998441216 is an abundant number, since it is smaller than the sum of its proper divisors (534675631152).

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

253998441216 is a wasteful number, since it uses less digits than its factorization.

253998441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480218 (or 8480201 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 253998441216 in words is "two hundred fifty-three billion, nine hundred ninety-eight million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 8480183 16960366 25440549 33920732 50881098 67841464 76321647 101762196 110242379 135682928 152643294 203524392 220484758 271365856 305286588 330727137 407048784 440969516 542731712 610573176 661454274 814097568 881939032 992181411 1085463424 1221146352 1322908548 1628195136 1763878064 1984362822 2170926848 2442292704 2645817096 3256390272 3527756128 3968725644 4884585408 5291634192 6512780544 7055512256 7937451288 9769170816 10583268384 14111024512 15874902576 19538341632 21166536768 28222049024 31749805152 42333073536 63499610304 84666147072 126999220608 253998441216