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30550927680 = 263357313261
BaseRepresentation
bin11100011100111110…
…100010100101000000
32220212010221221002000
4130130332202211000
51000032014141210
622011312224000
72131036413000
oct343476424500
986763857060
1030550927680
1111a58225169
125b0753b000
132b5b56b900
14169b69a000
15bdc1a1ac0
hex71cfa2940

30550927680 has 1344 divisors, whose sum is σ = 138330432000. Its totient is φ = 6340239360.

The previous prime is 30550927663. The next prime is 30550927751. The reversal of 30550927680 is 8672905503.

It is a happy number.

30550927680 is a `hidden beast` number, since 3 + 0 + 550 + 92 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500834850 + ... + 500834910.

Almost surely, 230550927680 is an apocalyptic number.

30550927680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30550927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69165216000).

30550927680 is an abundant number, since it is smaller than the sum of its proper divisors (107779504320).

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

30550927680 is a wasteful number, since it uses less digits than its factorization.

30550927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 30550927680 in words is "thirty billion, five hundred fifty million, nine hundred twenty-seven thousand, six hundred eighty".