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242693575680 = 2103515800363
BaseRepresentation
bin1110001000000110101…
…0100001010000000000
3212012102201210001012010
43202001222201100000
512434014023410210
6303254125332520
723351113233063
oct3420152412000
9765381701163
10242693575680
1193a20218546
123b051707140
1319b69448caa
14ba642cc8da
1564a6672920
hex3881aa1400

242693575680 has 88 divisors (see below), whose sum is σ = 776240282592. Its totient is φ = 64718282752.

The previous prime is 242693575613. The next prime is 242693575697. The reversal of 242693575680 is 86575396242.

It is a self number, because there is not a number n which added to its sum of digits gives 242693575680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7884822 + ... + 7915541.

Almost surely, 2242693575680 is an apocalyptic number.

242693575680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242693575680 is an abundant number, since it is smaller than the sum of its proper divisors (533546706912).

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

242693575680 is a wasteful number, since it uses less digits than its factorization.

242693575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800391 (or 15800373 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 242693575680 in words is "two hundred forty-two billion, six hundred ninety-three million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 15800363 31600726 47401089 63201452 79001815 94802178 126402904 158003630 189604356 237005445 252805808 316007260 379208712 474010890 505611616 632014520 758417424 948021780 1011223232 1264029040 1516834848 1896043560 2022446464 2528058080 3033669696 3792087120 4044892928 5056116160 6067339392 7584174240 8089785856 10112232320 12134678784 15168348480 16179571712 20224464640 24269357568 30336696960 40448929280 48538715136 60673393920 80897858560 121346787840 242693575680