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545114297952 = 253271931835531
BaseRepresentation
bin1111110111010110101…
…10000001011001100000
31221010000221201111121200
413323223112001121200
532412343230013302
61054231055121200
754245304036660
oct7735326013140
91833027644550
10545114297952
111a01aa8a0264
1289791813200
133c53393a633
141c552b261a0
15e2a65ec81c
hex7eeb581660

545114297952 has 576 divisors, whose sum is σ = 1948566896640. Its totient is φ = 141044198400.

The previous prime is 545114297947. The next prime is 545114297969. The reversal of 545114297952 is 259792411545.

545114297952 is a `hidden beast` number, since 5 + 4 + 511 + 4 + 2 + 9 + 79 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98553427 + ... + 98558957.

It is an arithmetic number, because the mean of its divisors is an integer number (3382928640).

Almost surely, 2545114297952 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 545114297952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974283448320).

545114297952 is an abundant number, since it is smaller than the sum of its proper divisors (1403452598688).

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

545114297952 is a wasteful number, since it uses less digits than its factorization.

545114297952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5676 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 545114297952 in words is "five hundred forty-five billion, one hundred fourteen million, two hundred ninety-seven thousand, nine hundred fifty-two".