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472430053521120 = 253511817159116411
BaseRepresentation
bin110101101101011000011000…
…1100001010111011011100000
32021221201212112201022011110010
41223122300301201113123200
5443410243222200133440
64352435212003004520
7201336642064464522
oct15332606141273340
92257655481264403
10472430053521120
11127592507a94162
1244ba0139069740
131737bc6960b236
148493a452dda12
153993ecab97580
hex1adac318576e0

472430053521120 has 192 divisors, whose sum is σ = 1489635592865280. Its totient is φ = 125856010291200.

The previous prime is 472430053521109. The next prime is 472430053521149. The reversal of 472430053521120 is 21125350034274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4058235715 + ... + 4058352125.

It is an arithmetic number, because the mean of its divisors is an integer number (7758518712840).

Almost surely, 2472430053521120 is an apocalyptic number.

472430053521120 is a gapful number since it is divisible by the number (40) 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 472430053521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744817796432640).

472430053521120 is an abundant number, since it is smaller than the sum of its proper divisors (1017205539344160).

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

472430053521120 is a wasteful number, since it uses less digits than its factorization.

472430053521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124769 (or 124761 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 472430053521120 in words is "four hundred seventy-two trillion, four hundred thirty billion, fifty-three million, five hundred twenty-one thousand, one hundred twenty".