Search a number
-
+
30611096544 = 253728237907
BaseRepresentation
bin11100100000100100…
…000100001111100000
32221000100011211020110
4130200210010033200
51000142420042134
622021302011320
72132400012300
oct344044041740
987010154213
1030611096544
1111a891909a6
125b23716b40
132b6ab776a2
1416a567d600
15be25d97e9
hex7209043e0

30611096544 has 144 divisors (see below), whose sum is σ = 93598581888. Its totient is φ = 8734295808.

The previous prime is 30611096539. The next prime is 30611096587. The reversal of 30611096544 is 44569011603.

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, 3867439 + ... + 3875345.

It is an arithmetic number, because the mean of its divisors is an integer number (649990152).

Almost surely, 230611096544 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 30611096544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46799290944).

30611096544 is an abundant number, since it is smaller than the sum of its proper divisors (62987485344).

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

30611096544 is a wasteful number, since it uses less digits than its factorization.

30611096544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 30611096544 in words is "thirty billion, six hundred eleven million, ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 823 1176 1568 1646 2352 2469 3292 4704 4938 5761 6584 7907 9876 11522 13168 15814 17283 19752 23044 23721 26336 31628 34566 39504 40327 46088 47442 55349 63256 69132 79008 80654 92176 94884 110698 120981 126512 138264 161308 166047 184352 189768 221396 241962 253024 276528 322616 332094 379536 387443 442792 483924 553056 645232 664188 759072 774886 885584 967848 1162329 1290464 1328376 1549772 1771168 1935696 2324658 2656752 3099544 3871392 4649316 5313504 6199088 6507461 9298632 12398176 13014922 18597264 19522383 26029844 37194528 39044766 45552227 52059688 78089532 91104454 104119376 136656681 156179064 182208908 208238752 273313362 312358128 318865589 364417816 546626724 624716256 637731178 728835632 956596767 1093253448 1275462356 1457671264 1913193534 2186506896 2550924712 3826387068 4373013792 5101849424 7652774136 10203698848 15305548272 30611096544