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629380997280 = 25325788770393
BaseRepresentation
bin10010010100010100000…
…01111110000010100000
32020011112122101100202200
421022022001332002200
540302433013403110
61201044511013200
763320435131140
oct11121201760240
92204478340680
10629380997280
11222a1218a732
12a1b8a50a200
1347472a024b9
14226683da920
15115894736c0
hex928a07e0a0

629380997280 has 288 divisors, whose sum is σ = 2457388088064. Its totient is φ = 143694286848.

The previous prime is 629380997279. The next prime is 629380997291. The reversal of 629380997280 is 82799083926.

629380997280 is a `hidden beast` number, since 6 + 29 + 380 + 99 + 72 + 80 = 666.

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

It is a super-2 number, since 2×6293809972802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 8905764 + ... + 8976156.

It is an arithmetic number, because the mean of its divisors is an integer number (8532597528).

Almost surely, 2629380997280 is an apocalyptic number.

629380997280 is a gapful number since it is divisible by the number (60) 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 629380997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228694044032).

629380997280 is an abundant number, since it is smaller than the sum of its proper divisors (1828007090784).

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

629380997280 is a wasteful number, since it uses less digits than its factorization.

629380997280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71308 (or 71297 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 629380997280 in words is "six hundred twenty-nine billion, three hundred eighty million, nine hundred ninety-seven thousand, two hundred eighty".