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72242938464480 = 253257292271088707
BaseRepresentation
bin10000011011010001011110…
…101011110100100011100000
3100110210100122121001022020100
4100123101132223310203200
533432112014221330410
6413351540414542400
721134244235020540
oct2033213653644340
9313710577038210
1072242938464480
1121023070436a93
1281291b9b07a00
13314063135a174
1413ba810d4d320
158543108ba8c0
hex41b45eaf48e0

72242938464480 has 576 divisors, whose sum is σ = 292747136048640. Its totient is φ = 15873019932672.

The previous prime is 72242938464479. The next prime is 72242938464481. The reversal of 72242938464480 is 8446483924227.

It is a happy number.

72242938464480 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 2 + 93 + 8 + 4 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (72242938464479) and next prime (72242938464481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72242938464481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65812287 + ... + 66900993.

It is an arithmetic number, because the mean of its divisors is an integer number (508241555640).

Almost surely, 272242938464480 is an apocalyptic number.

72242938464480 is a gapful number since it is divisible by the number (70) 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 72242938464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146373568024320).

72242938464480 is an abundant number, since it is smaller than the sum of its proper divisors (220504197584160).

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

72242938464480 is a wasteful number, since it uses less digits than its factorization.

72242938464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088991 (or 1088980 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 72242938464480 in words is "seventy-two trillion, two hundred forty-two billion, nine hundred thirty-eight million, four hundred sixty-four thousand, four hundred eighty".