Search a number
-
+
714851300664 = 233214968397561
BaseRepresentation
bin10100110011100000111…
…01010011010100111000
32112100011012211122021200
422121300131103110320
543203003413110124
61304222000134200
7102434452541124
oct12316035232470
92470135748250
10714851300664
11256191a176a6
12b6662307360
1352544251107
142685589c584
15138dcce7bc9
hexa670753538

714851300664 has 96 divisors (see below), whose sum is σ = 1951922934000. Its totient is φ = 236335587840.

The previous prime is 714851300633. The next prime is 714851300677. The reversal of 714851300664 is 466003158417.

714851300664 is a `hidden beast` number, since 71 + 4 + 8 + 513 + 0 + 0 + 6 + 64 = 666.

It is a super-2 number, since 2×7148513006642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7278444 + ... + 7376004.

Almost surely, 2714851300664 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 714851300664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975961467000).

714851300664 is an abundant number, since it is smaller than the sum of its proper divisors (1237071633336).

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

714851300664 is a wasteful number, since it uses less digits than its factorization.

714851300664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98405 (or 98398 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 714851300664 in words is "seven hundred fourteen billion, eight hundred fifty-one million, three hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 683 894 1192 1341 1366 1788 2049 2682 2732 3576 4098 5364 5464 6147 8196 10728 12294 16392 24588 49176 97561 101767 195122 203534 292683 305301 390244 407068 585366 610602 780488 814136 878049 915903 1170732 1221204 1756098 1831806 2341464 2442408 3512196 3663612 7024392 7327224 14536589 29073178 43609767 58146356 66634163 87219534 116292712 130829301 133268326 174439068 199902489 261658602 266536652 348878136 399804978 523317204 533073304 599707467 799609956 1046634408 1199414934 1599219912 2398829868 4797659736 9928490287 19856980574 29785470861 39713961148 59570941722 79427922296 89356412583 119141883444 178712825166 238283766888 357425650332 714851300664