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30460485760 = 275177273851
BaseRepresentation
bin11100010111100101…
…100010000010000000
32220121211210000002021
4130113211202002000
5444340341021020
621554321531224
72125560566635
oct342745420200
986554700067
1030460485760
1111a11171881
125aa11a3b14
132b458c3793
14168d67618c
15bd42891aa
hex717962080

30460485760 has 128 divisors (see below), whose sum is σ = 77229210240. Its totient is φ = 11448729600.

The previous prime is 30460485749. The next prime is 30460485793. The reversal of 30460485760 is 6758406403.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7907835 + ... + 7911685.

It is an arithmetic number, because the mean of its divisors is an integer number (603353205).

Almost surely, 230460485760 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 30460485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38614605120).

30460485760 is an abundant number, since it is smaller than the sum of its proper divisors (46768724480).

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

30460485760 is a wasteful number, since it uses less digits than its factorization.

30460485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 30460485760 in words is "thirty billion, four hundred sixty million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 727 1088 1360 1454 2176 2720 2908 3635 3851 5440 5816 7270 7702 10880 11632 12359 14540 15404 19255 23264 24718 29080 30808 38510 46528 49436 58160 61616 61795 65467 77020 93056 98872 116320 123232 123590 130934 154040 197744 232640 246464 247180 261868 308080 327335 395488 465280 492928 494360 523736 616160 654670 790976 988720 1047472 1232320 1309340 1581952 1977440 2094944 2464640 2618680 2799677 3954880 4189888 5237360 5599354 7909760 8379776 10474720 11198708 13998385 20949440 22397416 27996770 41898880 44794832 47594509 55993540 89589664 95189018 111987080 179179328 190378036 223974160 237972545 358358656 380756072 447948320 475945090 761512144 895896640 951890180 1523024288 1791793280 1903780360 3046048576 3807560720 6092097152 7615121440 15230242880 30460485760