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2472257360664 = 23337131929673407
BaseRepresentation
bin100011111110011110000…
…001011001001100011000
322202100022212101110112000
4203332132001121030120
5311001140341020124
65131423411121000
7343420561560120
oct43763601311430
98670285343460
102472257360664
11873529912783
1233b181ba3160
1314c195bb3210
148792d397c80
15444982846c9
hex23f9e059318

2472257360664 has 1024 divisors, whose sum is σ = 9343918080000. Its totient is φ = 587332601856.

The previous prime is 2472257360627. The next prime is 2472257360681. The reversal of 2472257360664 is 4660637522742.

2472257360664 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 2 + 573 + 6 + 0 + 6 + 64 = 666.

It is a super-2 number, since 2×24722573606642 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2472257360664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 725638849 + ... + 725642255.

It is an arithmetic number, because the mean of its divisors is an integer number (9124920000).

Almost surely, 22472257360664 is an apocalyptic number.

2472257360664 is a gapful number since it is divisible by the number (24) 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 2472257360664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671959040000).

2472257360664 is an abundant number, since it is smaller than the sum of its proper divisors (6871660719336).

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

2472257360664 is a wasteful number, since it uses less digits than its factorization.

2472257360664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 2472257360664 in words is "two trillion, four hundred seventy-two billion, two hundred fifty-seven million, three hundred sixty thousand, six hundred sixty-four".