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30377009104 = 2413217364937
BaseRepresentation
bin11100010010100111…
…000101111111010000
32220102000200221122021
4130102213011333100
5444203003242404
621542140421224
72123525213521
oct342247057720
986360627567
1030377009104
1111979036602
125a79247814
132b31516b00
141682546848
15bcbc9a454
hex7129c5fd0

30377009104 has 60 divisors (see below), whose sum is σ = 64100429676. Its totient is φ = 13938902016.

The previous prime is 30377009093. The next prime is 30377009119. The reversal of 30377009104 is 40190077303.

It can be written as a sum of positive squares in 6 ways, for example, as 142754704 + 30234254400 = 11948^2 + 173880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30377009104.

It is a congruent number.

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, 435324 + ... + 500260.

Almost surely, 230377009104 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 30377009104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32050214838).

30377009104 is an abundant number, since it is smaller than the sum of its proper divisors (33723420572).

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

30377009104 is a wasteful number, since it uses less digits than its factorization.

30377009104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65144 (or 65125 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The spelling of 30377009104 in words is "thirty billion, three hundred seventy-seven million, nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 173 208 338 346 676 692 1352 1384 2249 2704 2768 4498 8996 17992 29237 35984 58474 64937 116948 129874 233896 259748 467792 519496 844181 1038992 1688362 3376724 6753448 10974353 11234101 13506896 21948706 22468202 43897412 44936404 87794824 89872808 146043313 175589648 179745616 292086626 584173252 1168346504 1898563069 2336693008 3797126138 7594252276 15188504552 30377009104