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530653405740480 = 26355111931261557
BaseRepresentation
bin111100010101000000101111…
…1101111110111110111000000
32120120212222012020110011200000
41320222001133233313313000
51024023211133332143410
65120334450441400000
7216526305036611331
oct17052013757676700
92516788166404600
10530653405740480
1114409a933486720
124b624227a99000
1319a1352ac85ab9
149507a94840288
1541537a5dc7dc0
hex1e2a05fbf7dc0

530653405740480 has 4032 divisors, whose sum is σ = 2286876615528960. Its totient is φ = 115799445504000.

The previous prime is 530653405740413. The next prime is 530653405740487. The reversal of 530653405740480 is 84047504356035.

530653405740480 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 53 + 40 + 5 + 74 + 0 + 480 = 666.

It is a super-2 number, since 2×5306534057404802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530653405740487) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 952699112362 + ... + 952699112918.

It is an arithmetic number, because the mean of its divisors is an integer number (567181700280).

Almost surely, 2530653405740480 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 530653405740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143438307764480).

530653405740480 is an abundant number, since it is smaller than the sum of its proper divisors (1756223209788480).

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

530653405740480 is a wasteful number, since it uses less digits than its factorization.

530653405740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 530653405740480 in words is "five hundred thirty trillion, six hundred fifty-three billion, four hundred five million, seven hundred forty thousand, four hundred eighty".