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30501500544 = 2732197134401
BaseRepresentation
bin11100011010000001…
…111111011010000000
32220201200221202210100
4130122001333122000
5444431341004134
622002345002400
72126566322364
oct343201773200
986650852710
1030501500544
1111a32335899
125ab2a83400
132b51254198
141694cb12a4
15bd7b8b999
hex71a07f680

30501500544 has 96 divisors (see below), whose sum is σ = 88217440740. Its totient is φ = 10115481600.

The previous prime is 30501500537. The next prime is 30501500567. The reversal of 30501500544 is 44500510503.

It can be written as a sum of positive squares in 2 ways, for example, as 26532500544 + 3969000000 = 162888^2 + 63000^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159744 + ... + 294144.

Almost surely, 230501500544 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 30501500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108720370).

30501500544 is an abundant number, since it is smaller than the sum of its proper divisors (57715940196).

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

30501500544 is a wasteful number, since it uses less digits than its factorization.

30501500544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134618 (or 134603 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 30501500544 in words is "thirty billion, five hundred one million, five hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 288 384 394 576 591 788 1152 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 25216 28368 37824 56736 75648 113472 134401 226944 268802 403203 537604 806406 1075208 1209609 1612812 2150416 2419218 3225624 4300832 4838436 6451248 8601664 9676872 12902496 17203328 19353744 25804992 26476997 38707488 51609984 52953994 77414976 79430991 105907988 154829952 158861982 211815976 238292973 317723964 423631952 476585946 635447928 847263904 953171892 1270895856 1694527808 1906343784 2541791712 3389055616 3812687568 5083583424 7625375136 10167166848 15250750272 30501500544