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746364632740164 = 223317237364109239
BaseRepresentation
bin1010100110110100001000111…
…0110011101011000101000100
310121212122202120112111200111000
42221231002032303223011010
51240311414231440141124
611203215102343413300
7313132031243243634
oct25155021663530504
93555582515450430
10746364632740164
111a68a6510550179
126b862571454230
132605cb62877459
14d2443533206c4
155b449cc1126c9
hex2a6d08eceb144

746364632740164 has 144 divisors (see below), whose sum is σ = 2061050521129600. Its totient is φ = 233525848960512.

The previous prime is 746364632740157. The next prime is 746364632740183. The reversal of 746364632740164 is 461047236463647.

It is a happy number.

746364632740164 is a `hidden beast` number, since 7 + 4 + 6 + 3 + 6 + 463 + 2 + 7 + 4 + 0 + 164 = 666.

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 47 ways as a sum of consecutive naturals, for example, 20412544 + ... + 43696695.

Almost surely, 2746364632740164 is an apocalyptic number.

It is an amenable number.

746364632740164 is an abundant number, since it is smaller than the sum of its proper divisors (1314685888389436).

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

746364632740164 is a wasteful number, since it uses less digits than its factorization.

746364632740164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64109659 (or 64109634 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 63.

The spelling of 746364632740164 in words is "seven hundred forty-six trillion, three hundred sixty-four billion, six hundred thirty-two million, seven hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 373 459 578 612 746 867 918 1119 1156 1492 1734 1836 2238 2601 3357 3468 4476 5202 6341 6714 7803 10071 10404 12682 13428 15606 19023 20142 25364 31212 38046 40284 57069 76092 107797 114138 171207 215594 228276 323391 342414 431188 646782 684828 970173 1293564 1940346 2910519 3880692 5821038 11642076 64109239 128218478 192327717 256436956 384655434 576983151 769310868 1089857063 1153966302 1730949453 2179714126 2307932604 3269571189 3461898906 4359428252 6539142378 6923797812 9808713567 13078284756 18527570071 19617427134 23912746147 29426140701 37055140142 39234854268 47825492294 55582710213 58852281402 71738238441 74110280284 95650984588 111165420426 117704562804 143476476882 166748130639 215214715323 222330840852 286952953764 333496261278 406516684499 430429430646 500244391917 645644145969 666992522556 813033368998 860858861292 1000488783834 1219550053497 1291288291938 1626066737996 2000977567668 2439100106994 2582576583876 3658650160491 4878200213988 6910783636483 7317300320982 10975950481473 13821567272966 14634600641964 20732350909449 21951900962946 27643134545932 41464701818898 43903801925892 62197052728347 82929403637796 124394105456694 186591158185041 248788210913388 373182316370082 746364632740164