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472360565040 = 24357131071311543
BaseRepresentation
bin1101101111110101110…
…00100011100100110000
31200011020121201221100020
412313322320203210300
530214343301040130
61000555514123440
746061351361330
oct6677270434460
91604217657306
10472360565040
11172366251971
1277668720580
133570ab45030
1418c104d10c0
15c449390e10
hex6dfae23930

472360565040 has 640 divisors, whose sum is σ = 1834154606592. Its totient is φ = 97914286080.

The previous prime is 472360565003. The next prime is 472360565041. The reversal of 472360565040 is 40565063274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 472360564983 and 472360565001.

It is not an unprimeable number, because it can be changed into a prime (472360565041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306130509 + ... + 306132051.

Almost surely, 2472360565040 is an apocalyptic number.

472360565040 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 472360565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917077303296).

472360565040 is an abundant number, since it is smaller than the sum of its proper divisors (1361794041552).

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

472360565040 is a wasteful number, since it uses less digits than its factorization.

472360565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 472360565040 in words is "four hundred seventy-two billion, three hundred sixty million, five hundred sixty-five thousand, forty".