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551134391004 = 223423938318583
BaseRepresentation
bin10000000010100100010…
…10110110101011011100
31221200120111120220210000
420001102022312223130
533012210401003004
61101104310414300
754550424012451
oct10012212665334
91850514526700
10551134391004
111a2809aa527a
128a991961390
133cc82c1cc82
141c964485828
15e509da3c39
hex80522b6adc

551134391004 has 120 divisors (see below), whose sum is σ = 1450658119680. Its totient is φ = 182455320096.

The previous prime is 551134390999. The next prime is 551134391039. The reversal of 551134391004 is 400193431155.

551134391004 is a `hidden beast` number, since 5 + 5 + 113 + 439 + 100 + 4 = 666.

It is a super-2 number, since 2×5511343910042 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 551134391004.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 29648697 + ... + 29667279.

It is an arithmetic number, because the mean of its divisors is an integer number (12088817664).

Almost surely, 2551134391004 is an apocalyptic number.

551134391004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551134391004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725329059840).

551134391004 is an abundant number, since it is smaller than the sum of its proper divisors (899523728676).

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

551134391004 is a wasteful number, since it uses less digits than its factorization.

551134391004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19221 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 551134391004 in words is "five hundred fifty-one billion, one hundred thirty-four million, three hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 324 383 478 717 766 956 1149 1434 1532 2151 2298 2868 3447 4302 4596 6453 6894 8604 10341 12906 13788 18583 19359 20682 25812 31023 37166 38718 41364 55749 62046 74332 77436 91537 111498 124092 167247 183074 222996 274611 334494 366148 501741 549222 668988 823833 1003482 1098444 1505223 1647666 2006964 2471499 3010446 3295332 4441337 4942998 6020892 7117289 7414497 8882674 9885996 13324011 14234578 14828994 17765348 21351867 26648022 28469156 29657988 39972033 42703734 53296044 64055601 79944066 85407468 119916099 128111202 159888132 192166803 239832198 256222404 359748297 384333606 479664396 576500409 719496594 768667212 1153000818 1438993188 1701032071 2306001636 3402064142 5103096213 6804128284 10206192426 15309288639 20412384852 30618577278 45927865917 61237154556 91855731834 137783597751 183711463668 275567195502 551134391004