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30725501742 = 2351337131437
BaseRepresentation
bin11100100111011000…
…011111001100101110
32221022022110012200000
4130213120133030232
51000411212023432
622040510045130
72135256312165
oct344730371456
987268405600
1030725501742
1112037821251
125b55aa97a6
132b88792b80
1416b69403dc
15bec68757c
hex72761f32e

30725501742 has 96 divisors (see below), whose sum is σ = 76358117472. Its totient is φ = 9198417024.

The previous prime is 30725501731. The next prime is 30725501743. The reversal of 30725501742 is 24710552703.

30725501742 is a `hidden beast` number, since 30 + 7 + 2 + 550 + 1 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30725501697 and 30725501706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30725501743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168048 + ... + 299484.

It is an arithmetic number, because the mean of its divisors is an integer number (795397057).

Almost surely, 230725501742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30725501742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38179058736).

30725501742 is an abundant number, since it is smaller than the sum of its proper divisors (45632615730).

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

30725501742 is a wasteful number, since it uses less digits than its factorization.

30725501742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131504 (or 131492 counting only the distinct ones).

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

The spelling of 30725501742 in words is "thirty billion, seven hundred twenty-five million, five hundred one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 243 333 351 481 486 666 702 962 999 1053 1443 1998 2106 2886 2997 3159 4329 5994 6318 8658 8991 12987 17982 25974 38961 77922 116883 131437 233766 262874 394311 788622 1182933 1708681 2365866 3417362 3548799 4863169 5126043 7097598 9726338 10252086 10646397 14589507 15378129 21292794 29179014 30756258 31939191 43768521 46134387 63221197 63878382 87537042 92268774 126442394 131305563 138403161 189663591 262611126 276806322 379327182 393916689 415209483 568990773 787833378 830418966 1137981546 1181750067 1706972319 2363500134 3413944638 5120916957 10241833914 15362750871 30725501742