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30164720454 = 232111961131447
BaseRepresentation
bin11100000101111101…
…010001101101000110
32212212020020120100200
4130011331101231012
5443234132023304
621505114351330
72115336615261
oct340575215506
985766216320
1030164720454
111187a21aa40
125a1a12b546
132ac954931b
141662285cd8
15bb8314e39
hex705f51b46

30164720454 has 96 divisors (see below), whose sum is σ = 76281903360. Its totient is φ = 8517700800.

The previous prime is 30164720447. The next prime is 30164720507. The reversal of 30164720454 is 45402746103.

30164720454 is a `hidden beast` number, since 3 + 0 + 1 + 647 + 2 + 0 + 4 + 5 + 4 = 666.

It is a super-2 number, since 2×301647204542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163759 + ... + 295205.

It is an arithmetic number, because the mean of its divisors is an integer number (794603160).

Almost surely, 230164720454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30164720454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38140951680).

30164720454 is an abundant number, since it is smaller than the sum of its proper divisors (46117182906).

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

30164720454 is a wasteful number, since it uses less digits than its factorization.

30164720454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131546 (or 131543 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 30164720454 in words is "thirty billion, one hundred sixty-four million, seven hundred twenty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 61 66 99 114 122 171 183 198 209 342 366 418 549 627 671 1098 1159 1254 1342 1881 2013 2318 3477 3762 4026 6039 6954 10431 12078 12749 20862 25498 38247 76494 114741 131447 229482 262894 394341 788682 1183023 1445917 2366046 2497493 2891834 4337751 4994986 7492479 8018267 8675502 13013253 14984958 16036534 22477437 24054801 26026506 27472423 44954874 48109602 54944846 72164403 82417269 88200937 144328806 152347073 164834538 176401874 247251807 264602811 304694146 457041219 494503614 529205622 793808433 914082438 1371123657 1587616866 1675817803 2742247314 3351635606 5027453409 10054906818 15082360227 30164720454