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30781436460 = 22354753205951
BaseRepresentation
bin11100101010101101…
…110111001000101100
32221110012200222200020
4130222231313020230
51001020021431320
622050225002140
72136535615155
oct345255671054
987405628606
1030781436460
1112066355895
125b70783350
132b97248638
1416c014092c
15c02535940
hex72ab7722c

30781436460 has 96 divisors (see below), whose sum is σ = 89683034112. Its totient is φ = 7882118400.

The previous prime is 30781436459. The next prime is 30781436503. The reversal of 30781436460 is 6463418703.

It is a happy 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, 46485 + ... + 252435.

It is an arithmetic number, because the mean of its divisors is an integer number (934198272).

Almost surely, 230781436460 is an apocalyptic number.

30781436460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30781436460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44841517056).

30781436460 is an abundant number, since it is smaller than the sum of its proper divisors (58901597652).

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

30781436460 is a wasteful number, since it uses less digits than its factorization.

30781436460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206063 (or 206061 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 30781436460 in words is "thirty billion, seven hundred eighty-one million, four hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2491 2820 3180 4982 7473 9964 12455 14946 24910 29892 37365 49820 74730 149460 205951 411902 617853 823804 1029755 1235706 2059510 2471412 3089265 4119020 6178530 9679697 10915403 12357060 19359394 21830806 29039091 32746209 38718788 43661612 48398485 54577015 58078182 65492418 96796970 109154030 116156364 130984836 145195455 163731045 193593940 218308060 290390910 327462090 513023941 580781820 654924180 1026047882 1539071823 2052095764 2565119705 3078143646 5130239410 6156287292 7695359115 10260478820 15390718230 30781436460