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30125723208 = 2337895693541
BaseRepresentation
bin11100000011101000…
…100000111001001000
32212202111212022012020
4130003220200321020
5443144141120313
621501202444440
72114354264550
oct340350407110
985674768166
1030125723208
111185a204809
125a09063720
132ac1444029
14165b014160
15bb4bb0323
hex703a20e48

30125723208 has 128 divisors (see below), whose sum is σ = 87218208000. Its totient is φ = 8493281280.

The previous prime is 30125723197. The next prime is 30125723209. The reversal of 30125723208 is 80232752103.

It is a super-2 number, since 2×301257232082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30125723209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8505918 + ... + 8509458.

It is an arithmetic number, because the mean of its divisors is an integer number (681392250).

Almost surely, 230125723208 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 30125723208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43609104000).

30125723208 is an abundant number, since it is smaller than the sum of its proper divisors (57092484792).

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

30125723208 is a wasteful number, since it uses less digits than its factorization.

30125723208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 30125723208 in words is "thirty billion, one hundred twenty-five million, seven hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 569 623 712 1068 1138 1246 1707 1869 2136 2276 2492 3414 3541 3738 3983 4552 4984 6828 7082 7476 7966 10623 11949 13656 14164 14952 15932 21246 23898 24787 28328 31864 42492 47796 49574 50641 74361 84984 95592 99148 101282 148722 151923 198296 202564 297444 303846 315149 354487 405128 594888 607692 630298 708974 945447 1063461 1215384 1260596 1417948 1890894 2014829 2126922 2206043 2521192 2835896 3781788 4029658 4253844 4412086 6044487 6618129 7563576 8059316 8507688 8824172 12088974 13236258 14103803 16118632 17648344 24177948 26472516 28207606 42311409 48355896 52945032 56415212 84622818 112830424 169245636 179319781 338491272 358639562 537959343 717279124 1075918686 1255238467 1434558248 2151837372 2510476934 3765715401 4303674744 5020953868 7531430802 10041907736 15062861604 30125723208