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530980472160 = 253251935954059
BaseRepresentation
bin1111011101000001110…
…01110000010101100000
31212202112221102202120100
413232200321300111200
532144422000102120
61043532402142400
753235122354535
oct7564071602540
91782487382510
10530980472160
111952076a77a6
1286aa8351a00
133b0c06a37c8
141b9b1974d8c
15dc2a882490
hex7ba0e70560

530980472160 has 288 divisors, whose sum is σ = 1912686048000. Its totient is φ = 133766304768.

The previous prime is 530980472147. The next prime is 530980472171. The reversal of 530980472160 is 61274089035.

530980472160 is a `hidden beast` number, since 5 + 30 + 98 + 0 + 472 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 9795211 + ... + 9849269.

It is an arithmetic number, because the mean of its divisors is an integer number (6641271000).

It is a 1-persistent number, because it is pandigital, but 2⋅530980472160 = 1061960944320 is not.

Almost surely, 2530980472160 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 530980472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956343024000).

530980472160 is an abundant number, since it is smaller than the sum of its proper divisors (1381705575840).

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

530980472160 is a wasteful number, since it uses less digits than its factorization.

530980472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54458 (or 54447 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 530980472160 in words is "five hundred thirty billion, nine hundred eighty million, four hundred seventy-two thousand, one hundred sixty".