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508272003904 = 2674167413009
BaseRepresentation
bin1110110010101110101…
…11110100101101000000
31210120221100110001100111
413121113113310231000
531311420113111104
61025255201001104
751502311514660
oct7312727645500
91716840401314
10508272003904
11186614328465
128260b323194
1338c11b38b42
141a859a941a0
15d34be5c404
hex76575f4b40

508272003904 has 112 divisors (see below), whose sum is σ = 1198429464960. Its totient is φ = 209345495040.

The previous prime is 508272003859. The next prime is 508272003929. The reversal of 508272003904 is 409300272805.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024152 + ... + 1437160.

It is an arithmetic number, because the mean of its divisors is an integer number (10700263080).

Almost surely, 2508272003904 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 508272003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599214732480).

508272003904 is an abundant number, since it is smaller than the sum of its proper divisors (690157461056).

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

508272003904 is a wasteful number, since it uses less digits than its factorization.

508272003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413136 (or 413126 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 508272003904 in words is "five hundred eight billion, two hundred seventy-two million, three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 67 82 112 134 164 224 268 287 328 448 469 536 574 656 938 1072 1148 1312 1876 2144 2296 2624 2747 3752 4288 4592 5494 7504 9184 10988 15008 18368 19229 21976 30016 38458 43952 76916 87904 153832 175808 307664 413009 615328 826018 1230656 1652036 2891063 3304072 5782126 6608144 11564252 13216288 16933369 23128504 26432576 27671603 33866738 46257008 55343206 67733476 92514016 110686412 118533583 135466952 185028032 193701221 221372824 237067166 270933904 387402442 442745648 474134332 541867808 774804884 885491296 948268664 1083735616 1134535723 1549609768 1770982592 1896537328 2269071446 3099219536 3793074656 4538142892 6198439072 7586149312 7941750061 9076285784 12396878144 15883500122 18152571568 31767000244 36305143136 63534000488 72610286272 127068000976 254136001952 508272003904