Search a number
-
+
30525291264 = 283133782633
BaseRepresentation
bin11100011011011100…
…101111101100000000
32220210100201110112010
4130123130233230000
51000003433310024
622004554532520
72130305460156
oct343334575400
986710643463
1030525291264
1111a44805146
125abaa37140
132b56163b30
1416981053d6
15bd9cdab29
hex71b72fb00

30525291264 has 144 divisors (see below), whose sum is σ = 89856872672. Its totient is φ = 9138438144.

The previous prime is 30525291217. The next prime is 30525291311. The reversal of 30525291264 is 46219252503.

It is an interprime number because it is at equal distance from previous prime (30525291217) and next prime (30525291311).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328092 + ... + 410724.

Almost surely, 230525291264 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 30525291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928436336).

30525291264 is an abundant number, since it is smaller than the sum of its proper divisors (59331581408).

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

30525291264 is a wasteful number, since it uses less digits than its factorization.

30525291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82702 (or 82688 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 30525291264 in words is "thirty billion, five hundred twenty-five million, two hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 7104 7696 9472 9984 11544 14208 15392 23088 28416 30784 46176 61568 82633 92352 123136 165266 184704 247899 330532 369408 495798 661064 991596 1074229 1322128 1983192 2148458 2644256 3057421 3222687 3966384 4296916 5288512 6114842 6445374 7932768 8593832 9172263 10577024 12229684 12890748 15865536 17187664 18344526 21154048 24459368 25781496 31731072 34375328 36689052 39746473 48918736 51562992 63462144 68750656 73378104 79492946 97837472 103125984 119239419 137501312 146756208 158985892 195674944 206251968 238478838 275002624 293512416 317971784 391349888 412503936 476957676 587024832 635943568 782699776 825007872 953915352 1174049664 1271887136 1907830704 2348099328 2543774272 3815661408 5087548544 7631322816 10175097088 15262645632 30525291264