Search a number
-
+
30470556510 = 2345109563613
BaseRepresentation
bin11100011000001011…
…111100101101011110
32220122112201122120000
4130120023330231132
5444400430302020
621555321435130
72126042312502
oct343013745536
986575648500
1030470556510
1111a16920109
125aa463baa6
132b47a0b5c4
141690b38302
15bd50c8090
hex7182fcb5e

30470556510 has 160 divisors (see below), whose sum is σ = 82965595680. Its totient is φ = 8023525632.

The previous prime is 30470556491. The next prime is 30470556551. The reversal of 30470556510 is 1565507403.

30470556510 is a `hidden beast` number, since 30 + 4 + 70 + 556 + 5 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49706964 + ... + 49707576.

It is an arithmetic number, because the mean of its divisors is an integer number (518534973).

Almost surely, 230470556510 is an apocalyptic number.

30470556510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30470556510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41482797840).

30470556510 is an abundant number, since it is smaller than the sum of its proper divisors (52495039170).

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

30470556510 is a wasteful number, since it uses less digits than its factorization.

30470556510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 30470556510 in words is "thirty billion, four hundred seventy million, five hundred fifty-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 405 545 563 613 654 810 981 1090 1126 1226 1635 1689 1839 1962 2815 2943 3065 3270 3378 3678 4905 5067 5517 5630 5886 6130 8445 8829 9195 9810 10134 11034 14715 15201 16551 16890 17658 18390 25335 27585 29430 30402 33102 44145 45603 49653 50670 55170 61367 66817 76005 82755 88290 91206 99306 122734 133634 152010 165510 184101 200451 228015 248265 306835 334085 345119 368202 400902 456030 496530 552303 601353 613670 668170 690238 920505 1002255 1035357 1104606 1202706 1656909 1725595 1804059 1841010 2004510 2070714 2761515 3006765 3106071 3313818 3451190 3608118 4970727 5176785 5412177 5523030 6013530 6212142 8284545 9020295 9318213 9941454 10353570 10824354 15530355 16569090 18040590 18636426 24853635 27060885 27954639 31060710 37617971 46591065 49707270 54121770 55909278 75235942 93182130 112853913 139773195 188089855 225707826 279546390 338561739 376179710 564269565 677123478 1015685217 1128539130 1692808695 2031370434 3047055651 3385617390 5078426085 6094111302 10156852170 15235278255 30470556510