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30732694272 = 283373072069
BaseRepresentation
bin11100100111110011…
…111011001100000000
32221022210222121222000
4130213303323030000
51000420032204042
622041324144000
72135404406520
oct344763731400
987283877860
1030732694272
1112040894095
125b58398000
132b8a1108c7
1416b7893680
15bed10874c
hex727cfb300

30732694272 has 288 divisors, whose sum is σ = 104253811200. Its totient is φ = 8747937792.

The previous prime is 30732694253. The next prime is 30732694297. The reversal of 30732694272 is 27249623703.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14852854 + ... + 14854922.

It is an arithmetic number, because the mean of its divisors is an integer number (361992400).

Almost surely, 230732694272 is an apocalyptic number.

30732694272 is a gapful number since it is divisible by the number (32) 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 30732694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52126905600).

30732694272 is an abundant number, since it is smaller than the sum of its proper divisors (73521116928).

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

30732694272 is a wasteful number, since it uses less digits than its factorization.

30732694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 30732694272 in words is "thirty billion, seven hundred thirty-two million, six hundred ninety-four thousand, two hundred seventy-two".