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30501542772 = 223243151130489
BaseRepresentation
bin11100011010000010…
…001001101101110100
32220201201000220201100
4130122002021231310
5444431343332042
622002345530100
72126566556451
oct343202115564
986651026640
1030501542772
1111a32364598
125ab2aa3930
132b5126a47c
141694cc2828
15bd7b9924c
hex71a089b74

30501542772 has 72 divisors (see below), whose sum is σ = 79417257920. Its totient is φ = 9864892800.

The previous prime is 30501542737. The next prime is 30501542801. The reversal of 30501542772 is 27724510503.

30501542772 is a `hidden beast` number, since 30 + 501 + 54 + 2 + 7 + 72 = 666.

It is a super-2 number, since 2×305015427722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168504 + ... + 298992.

Almost surely, 230501542772 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 30501542772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39708628960).

30501542772 is an abundant number, since it is smaller than the sum of its proper divisors (48915715148).

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

30501542772 is a wasteful number, since it uses less digits than its factorization.

30501542772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130693 (or 130688 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 30501542772 in words is "thirty billion, five hundred one million, five hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 151 172 258 302 387 453 516 604 774 906 1359 1548 1812 2718 5436 6493 12986 19479 25972 38958 58437 77916 116874 130489 233748 260978 391467 521956 782934 1174401 1565868 2348802 4697604 5611027 11222054 16833081 19703839 22444108 33666162 39407678 50499243 59111517 67332324 78815356 100998486 118223034 177334551 201996972 236446068 354669102 709338204 847265077 1694530154 2541795231 3389060308 5083590462 7625385693 10167180924 15250771386 30501542772