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30010900096 = 272937218509
BaseRepresentation
bin11011111100110010…
…011111111010000000
32212110111210200111101
4123330302133322000
5442430242300341
621441541424144
72111461304362
oct337462377200
985414720441
1030010900096
1111800409481
12599670b054
132aa3710568
141649a84d32
15ba9a7d831
hex6fcc9fe80

30010900096 has 64 divisors (see below), whose sum is σ = 63520857000. Its totient is φ = 14096388096.

The previous prime is 30010900091. The next prime is 30010900097. The reversal of 30010900096 is 69000901003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25689678400 + 4321221696 = 160280^2 + 65736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30010900091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28090 + ... + 246598.

Almost surely, 230010900096 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 30010900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31760428500).

30010900096 is an abundant number, since it is smaller than the sum of its proper divisors (33509956904).

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

30010900096 is a wasteful number, since it uses less digits than its factorization.

30010900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218589 (or 218577 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 30010900096 in words is "thirty billion, ten million, nine hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 928 1073 1184 1856 2146 2368 3712 4292 4736 8584 17168 34336 68672 137344 218509 437018 874036 1748072 3496144 6336761 6992288 8084833 12673522 13984576 16169666 25347044 27969152 32339332 50694088 64678664 101388176 129357328 202776352 234460157 258714656 405552704 468920314 517429312 811105408 937840628 1034858624 1875681256 3751362512 7502725024 15005450048 30010900096