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30797807400 = 23325217109893
BaseRepresentation
bin11100101011101100…
…010011111100101000
32221111100111201101100
4130223230103330220
51001033214314100
622052011521400
72140125020643
oct345354237450
987440451340
1030797807400
1112074617598
125b76159260
132b9a75ac99
1416c23a2a5a
15c03bbb400
hex72bb13f28

30797807400 has 72 divisors (see below), whose sum is σ = 103429309230. Its totient is φ = 8212748160.

The previous prime is 30797807399. The next prime is 30797807413. The reversal of 30797807400 is 470879703.

It can be written as a sum of positive squares in 3 ways, for example, as 18424804644 + 12373002756 = 135738^2 + 111234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 8553147 + ... + 8556746.

Almost surely, 230797807400 is an apocalyptic number.

30797807400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30797807400 is an abundant number, since it is smaller than the sum of its proper divisors (72631501830).

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

30797807400 is a wasteful number, since it uses less digits than its factorization.

30797807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17109915 (or 17109903 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 30797807400 in words is "thirty billion, seven hundred ninety-seven million, eight hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 17109893 34219786 51329679 68439572 85549465 102659358 136879144 153989037 171098930 205318716 256648395 307978074 342197860 410637432 427747325 513296790 615956148 684395720 769945185 855494650 1026593580 1231912296 1283241975 1539890370 1710989300 2053187160 2566483950 3079780740 3421978600 3849725925 5132967900 6159561480 7699451850 10265935800 15398903700 30797807400