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530336337552 = 24387312751
BaseRepresentation
bin1111011011110101000…
…00100100111010010000
31212200220001101100000000
413231322200210322100
532142112100300202
61043344432130000
753213141330220
oct7557240447220
91780801340000
10530336337552
11194a0704494a
1286948696900
133b01a0c4478
141b9501c0080
15dbde04791c
hex7b7a824e90

530336337552 has 540 divisors, whose sum is σ = 1822459986048. Its totient is φ = 146441520000.

The previous prime is 530336337541. The next prime is 530336337623. The reversal of 530336337552 is 255733633035.

530336337552 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 3 + 63 + 37 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 530336337498 and 530336337507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 706173177 + ... + 706173927.

Almost surely, 2530336337552 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 530336337552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911229993024).

530336337552 is an abundant number, since it is smaller than the sum of its proper divisors (1292123648496).

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

530336337552 is an frugal number, since it uses more digits than its factorization.

530336337552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 45.

The spelling of 530336337552 in words is "five hundred thirty billion, three hundred thirty-six million, three hundred thirty-seven thousand, five hundred fifty-two".