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30319766256 = 24313313474517
BaseRepresentation
bin11100001111001100…
…101110101011110000
32220021000222201012210
4130033030232223300
5444043330010011
621532333452120
72122231521663
oct341714565360
986230881183
1030319766256
111194979916a
125a62041040
132b226c3ac0
141678ac56da
15bc6c3e6a6
hex70f32eaf0

30319766256 has 160 divisors (see below), whose sum is σ = 87342409728. Its totient is φ = 9000207360.

The previous prime is 30319766219. The next prime is 30319766357. The reversal of 30319766256 is 65266791303.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 6710110 + ... + 6714626.

Almost surely, 230319766256 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 30319766256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43671204864).

30319766256 is an abundant number, since it is smaller than the sum of its proper divisors (57022643472).

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

30319766256 is a wasteful number, since it uses less digits than its factorization.

30319766256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 30319766256 in words is "thirty billion, three hundred nineteen million, seven hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 347 372 403 496 624 694 744 806 1041 1209 1388 1488 1612 2082 2418 2776 3224 4164 4511 4517 4836 5552 6448 8328 9022 9034 9672 10757 13533 13551 16656 18044 18068 19344 21514 27066 27102 32271 36088 36136 43028 54132 54204 58721 64542 72176 72272 86056 108264 108408 117442 129084 139841 140027 172112 176163 216528 216816 234884 258168 279682 280054 352326 419523 420081 469768 516336 559364 560108 704652 839046 840162 939536 1118728 1120216 1409304 1567399 1678092 1680324 1820351 2237456 2240432 2818608 3134798 3356184 3360648 3640702 4702197 5461053 6269596 6712368 6721296 7281404 9404394 10922106 12539192 14562808 18808788 20376187 21844212 25078384 29125616 37617576 40752374 43688424 48589369 61128561 75235152 81504748 87376848 97178738 122257122 145768107 163009496 194357476 244514244 291536214 326018992 388714952 489028488 583072428 631661797 777429904 978056976 1166144856 1263323594 1894985391 2332289712 2526647188 3789970782 5053294376 7579941564 10106588752 15159883128 30319766256