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30129810192 = 2433174638861
BaseRepresentation
bin11100000011111000…
…000110101100010000
32212202210112221111000
4130003320012230100
5443201212411232
621501430222000
72114434106136
oct340370065420
985683487430
1030129810192
1111861546389
125a0a4b4900
132ac2245371
14165b799756
15bb521b27c
hex703e06b10

30129810192 has 160 divisors (see below), whose sum is σ = 91779125760. Its totient is φ = 9431009280.

The previous prime is 30129810169. The next prime is 30129810229. The reversal of 30129810192 is 29101892103.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3395842 + ... + 3404702.

It is an arithmetic number, because the mean of its divisors is an integer number (573619536).

Almost surely, 230129810192 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 30129810192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45889562880).

30129810192 is an abundant number, since it is smaller than the sum of its proper divisors (61649315568).

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

30129810192 is a wasteful number, since it uses less digits than its factorization.

30129810192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 30129810192 in words is "thirty billion, one hundred twenty-nine million, eight hundred ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 463 612 816 918 926 1224 1389 1836 1852 2448 2778 3672 3704 4167 5556 7344 7408 7871 8334 8861 11112 12501 15742 16668 17722 22224 23613 25002 26583 31484 33336 35444 47226 50004 53166 62968 66672 70839 70888 79749 94452 100008 106332 125936 141678 141776 150637 159498 188904 200016 212517 212664 239247 283356 301274 318996 377808 425034 425328 451911 478494 566712 602548 637992 850068 903822 956988 1133424 1205096 1275984 1355733 1700136 1807644 1913976 2410192 2711466 3400272 3615288 3827952 4067199 4102643 5422932 7230576 8134398 8205286 10845864 12307929 16268796 16410572 21691728 24615858 32537592 32821144 36923787 49231716 65075184 65642288 69744931 73847574 98463432 110771361 139489862 147695148 196926864 209234793 221542722 278979724 295390296 418469586 443085444 557959448 590780592 627704379 836939172 886170888 1115918896 1255408758 1673878344 1772341776 1883113137 2510817516 3347756688 3766226274 5021635032 7532452548 10043270064 15064905096 30129810192