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130923633384 = 233217360117489
BaseRepresentation
bin111100111101110101…
…0000001101011101000
3110111221021220200102200
41321323222001223220
54121112422232014
6140051231500200
712313260344025
oct1717352015350
9414837820380
10130923633384
1150584a83605
122145a087660
13c46635436b
1464a001854c
153613eaca09
hex1e7ba81ae8

130923633384 has 96 divisors (see below), whose sum is σ = 357248291400. Its totient is φ = 43314278400.

The previous prime is 130923633361. The next prime is 130923633389. The reversal of 130923633384 is 483336329031.

130923633384 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 2 + 3 + 633 + 3 + 8 + 4 = 666.

130923633384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116197810884 + 14725822500 = 340878^2 + 121350^2 .

It is not an unprimeable number, because it can be changed into a prime (130923633389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7477312 + ... + 7494800.

Almost surely, 2130923633384 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 130923633384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178624145700).

130923633384 is an abundant number, since it is smaller than the sum of its proper divisors (226324658016).

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

130923633384 is a wasteful number, since it uses less digits than its factorization.

130923633384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18275 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 130923633384 in words is "one hundred thirty billion, nine hundred twenty-three million, six hundred thirty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 601 692 1038 1202 1384 1557 1803 2076 2404 3114 3606 4152 4808 5409 6228 7212 10818 12456 14424 17489 21636 34978 43272 52467 69956 103973 104934 139912 157401 207946 209868 311919 314802 415892 419736 623838 629604 831784 935757 1247676 1259208 1871514 2495352 3025597 3743028 6051194 7486056 9076791 10510889 12102388 18153582 21021778 24204776 27230373 31532667 36307164 42043556 54460746 63065334 72614328 84087112 94598001 108921492 126130668 189196002 217842984 252261336 378392004 756784008 1818383797 3636767594 5455151391 7273535188 10910302782 14547070376 16365454173 21820605564 32730908346 43641211128 65461816692 130923633384