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640849184233440 = 2535713113180172091
BaseRepresentation
bin1001000110110110010101001…
…1111110110001011111100000
310010001001120202111202212021220
42101231211103332301133200
51132444133112130432230
610150550015002015040
7251661553125240420
oct22155452376613740
93101046674685256
10640849184233440
11176215681661316
125ba60a471a7480
1321677a84aaa360
14b4373a1d2c480
154e14e58132d10
hex246d953fb17e0

640849184233440 has 768 divisors, whose sum is σ = 2507936440633344. Its totient is φ = 133939298304000.

The previous prime is 640849184233417. The next prime is 640849184233451. The reversal of 640849184233440 is 44332481948046.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8889411795 + ... + 8889483885.

It is an arithmetic number, because the mean of its divisors is an integer number (3265542240408).

Almost surely, 2640849184233440 is an apocalyptic number.

640849184233440 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 640849184233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253968220316672).

640849184233440 is an abundant number, since it is smaller than the sum of its proper divisors (1867087256399904).

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

640849184233440 is a wasteful number, since it uses less digits than its factorization.

640849184233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74043 (or 74035 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 60.

The spelling of 640849184233440 in words is "six hundred forty trillion, eight hundred forty-nine billion, one hundred eighty-four million, two hundred thirty-three thousand, four hundred forty".