Search a number
-
+
713595100842 = 232132477368371
BaseRepresentation
bin10100110001001011001…
…01010001111010101010
32112012220200002002002100
422120211211101322222
543142420321211332
61303453203314230
7102361360164021
oct12304545217252
92465820062070
10713595100842
112556a7916128
12b637167b976
13523a3c10600
1426776add8b8
15138678aa67c
hexa625951eaa

713595100842 has 144 divisors (see below), whose sum is σ = 1733272864128. Its totient is φ = 211949187840.

The previous prime is 713595100793. The next prime is 713595100843. The reversal of 713595100842 is 248001595317.

713595100842 is a `hidden beast` number, since 7 + 1 + 3 + 59 + 510 + 0 + 84 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (713595100843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10402917 + ... + 10471287.

It is an arithmetic number, because the mean of its divisors is an integer number (12036617112).

Almost surely, 2713595100842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713595100842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866636432064).

713595100842 is an abundant number, since it is smaller than the sum of its proper divisors (1019677763286).

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

713595100842 is a wasteful number, since it uses less digits than its factorization.

713595100842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68525 (or 68509 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 713595100842 in words is "seven hundred thirteen billion, five hundred ninety-five million, one hundred thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 47 73 78 94 117 141 146 169 219 234 282 338 423 438 507 611 657 846 949 1014 1222 1314 1521 1833 1898 2847 3042 3431 3666 5499 5694 6862 7943 8541 10293 10998 12337 15886 17082 20586 23829 24674 30879 37011 44603 47658 61758 68371 71487 74022 89206 111033 133809 136742 142974 205113 222066 267618 401427 410226 579839 615339 802854 888823 1159678 1230678 1739517 1777646 2666469 3213437 3479034 4991083 5218551 5332938 6426874 7999407 9640311 9982166 10437102 11554699 14973249 15998814 19280622 23109398 28920933 29946498 34664097 41774681 44919747 57841866 64884079 69328194 83549362 89839494 103992291 125324043 129768158 194652237 207984582 234580901 250648086 375972129 389304474 469161802 543070853 583956711 703742703 751944258 843493027 1086141706 1167913422 1407485406 1629212559 1686986054 2111228109 2530479081 3049551713 3258425118 4222456218 4887637677 5060958162 6099103426 7591437243 9148655139 9775275354 15182874486 18297310278 27445965417 39644172269 54891930834 79288344538 118932516807 237865033614 356797550421 713595100842