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30754520064 = 210323838713
BaseRepresentation
bin11100101001000111…
…001011110000000000
32221101100001111022200
4130221013023300000
51000441124120224
622043424033200
72136061051542
oct345107136000
987340044280
1030754520064
1112052141134
125b63762800
132b917b3088
1416ba735692
15beeeba5c9
hex7291cbc00

30754520064 has 132 divisors (see below), whose sum is σ = 89045089536. Its totient is φ = 10223566848.

The previous prime is 30754520063. The next prime is 30754520141. The reversal of 30754520064 is 46002545703.

30754520064 is a `hidden beast` number, since 3 + 0 + 75 + 4 + 520 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30754520063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3525372 + ... + 3534084.

Almost surely, 230754520064 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 30754520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44522544768).

30754520064 is an abundant number, since it is smaller than the sum of its proper divisors (58290569472).

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

30754520064 is a wasteful number, since it uses less digits than its factorization.

30754520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 30754520064 in words is "thirty billion, seven hundred fifty-four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 512 576 766 768 1024 1149 1152 1532 1536 2298 2304 3064 3072 3447 4596 4608 6128 6894 8713 9192 9216 12256 13788 17426 18384 24512 26139 27576 34852 36768 49024 52278 55152 69704 73536 78417 98048 104556 110304 139408 147072 156834 196096 209112 220608 278816 294144 313668 392192 418224 441216 557632 588288 627336 836448 882432 1115264 1176576 1254672 1672896 1764864 2230528 2509344 3337079 3345792 3529728 4461056 5018688 6674158 6691584 8922112 10011237 10037376 13348316 13383168 20022474 20074752 26696632 26766336 30033711 40044948 40149504 53393264 60067422 80089896 80299008 106786528 120134844 160179792 213573056 240269688 320359584 427146112 480539376 640719168 854292224 961078752 1281438336 1708584448 1922157504 2562876672 3417168896 3844315008 5125753344 7688630016 10251506688 15377260032 30754520064