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242690804736 = 2103137576649
BaseRepresentation
bin1110001000000101111…
…1111100110000000000
3212012102112120021011120
43202001133330300000
512434012321222421
6303253550112240
723351050542402
oct3420137746000
9765375507146
10242690804736
1193a196a5706
123b0507ab680
1319b689b8993
14ba63baab72
1564a62c68c6
hex38817fcc00

242690804736 has 88 divisors (see below), whose sum is σ = 651582207600. Its totient is φ = 80306307072.

The previous prime is 242690804677. The next prime is 242690804767. The reversal of 242690804736 is 637408096242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132540 + ... + 709188.

Almost surely, 2242690804736 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 242690804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325791103800).

242690804736 is an abundant number, since it is smaller than the sum of its proper divisors (408891402864).

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

242690804736 is a wasteful number, since it uses less digits than its factorization.

242690804736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576809 (or 576791 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 242690804736 in words is "two hundred forty-two billion, six hundred ninety million, eight hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1536 1644 2192 3072 3288 4384 6576 8768 13152 17536 26304 35072 52608 70144 105216 140288 210432 420864 576649 1153298 1729947 2306596 3459894 4613192 6919788 9226384 13839576 18452768 27679152 36905536 55358304 73811072 79000913 110716608 147622144 158001826 221433216 237002739 295244288 316003652 442866432 474005478 590488576 632007304 885732864 948010956 1264014608 1771465728 1896021912 2528029216 3792043824 5056058432 7584087648 10112116864 15168175296 20224233728 30336350592 40448467456 60672701184 80896934912 121345402368 242690804736