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542225660004 = 22337314637341
BaseRepresentation
bin1111110001111110010…
…10101111100001100100
31220211120122020111022000
413320333022233201210
532340434232110004
61053032305405300
754113600031000
oct7707712574144
91824518214260
10542225660004
11199a58281876
1289106339830
133c193347402
141c35b22b700
15e187c04c39
hex7e3f2af864

542225660004 has 96 divisors (see below), whose sum is σ = 1639382304000. Its totient is φ = 154921606560.

The previous prime is 542225659981. The next prime is 542225660023. The reversal of 542225660004 is 400066522245.

542225660004 is a `hidden beast` number, since 5 + 4 + 22 + 25 + 6 + 600 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7281627 + ... + 7355714.

It is an arithmetic number, because the mean of its divisors is an integer number (17076899000).

Almost surely, 2542225660004 is an apocalyptic number.

542225660004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

542225660004 is an abundant number, since it is smaller than the sum of its proper divisors (1097156643996).

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

542225660004 is a wasteful number, since it uses less digits than its factorization.

542225660004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14637375 (or 14637353 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542225660004 in words is "five hundred forty-two billion, two hundred twenty-five million, six hundred sixty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044 14637341 29274682 43912023 58549364 87824046 102461387 131736069 175648092 204922774 263472138 307384161 395208207 409845548 526944276 614768322 717229709 790416414 922152483 1229536644 1434459418 1580832828 1844304966 2151689127 2766457449 2868918836 3688609932 4303378254 5020607963 5532914898 6455067381 8606756508 10041215926 11065829796 12910134762 15061823889 19365202143 20082431852 25820269524 30123647778 38730404286 45185471667 60247295556 77460808572 90370943334 135556415001 180741886668 271112830002 542225660004