Search a number
-
+
10157093354736 = 243410971901499
BaseRepresentation
bin1001001111001110000111…
…1100001111110011110000
31022222000020022002112010000
42103303201330033303300
52312403211344322421
633334034304510000
72065553146002126
oct223634174176360
938860208075100
1010157093354736
113266665449609
12118061a01b300
13588a6b1687b3
1427186a9bb916
1512932162c226
hex93ce1f0fcf0

10157093354736 has 100 divisors (see below), whose sum is σ = 29667277915000. Its totient is φ = 3354636290688.

The previous prime is 10157093354699. The next prime is 10157093354741. The reversal of 10157093354736 is 63745339075101.

It is a happy number.

10157093354736 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 0 + 93 + 3 + 547 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35809486 + ... + 36092013.

It is an arithmetic number, because the mean of its divisors is an integer number (296672779150).

Almost surely, 210157093354736 is an apocalyptic number.

10157093354736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10157093354736 is an abundant number, since it is smaller than the sum of its proper divisors (19510184560264).

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

10157093354736 is a wasteful number, since it uses less digits than its factorization.

10157093354736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71901628 (or 71901613 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 10157093354736 in words is "ten trillion, one hundred fifty-seven billion, ninety-three million, three hundred fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 141264 71901499 143802998 215704497 287605996 431408994 575211992 647113491 862817988 1150423984 1294226982 1725635976 1941340473 2588453964 3451271952 3882680946 5176907928 5824021419 7765361892 7837263391 10353815856 11648042838 15530723784 15674526782 23296085676 23511790173 31061447568 31349053564 46592171352 47023580346 62698107128 70535370519 93184342704 94047160692 125396214256 141070741038 188094321384 211606111557 282141482076 376188642768 423212223114 564282964152 634818334671 846424446228 1128565928304 1269636669342 1692848892456 2539273338684 3385697784912 5078546677368 10157093354736