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2137617376 = 25294353569
BaseRepresentation
bin111111101101001…
…0111001111100000
312111222022012202221
41333122113033200
513334212224001
6552040320424
7103654306426
oct17732271740
95458265687
102137617376
119a76a1634
124b7a73114
13280b2c06b
14163c7d116
15c79e81a1
hex7f6973e0

2137617376 has 48 divisors (see below), whose sum is σ = 4454881200. Its totient is φ = 1007935488.

The previous prime is 2137617373. The next prime is 2137617389. The reversal of 2137617376 is 6737167312.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137617373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13120 + ... + 66688.

It is an arithmetic number, because the mean of its divisors is an integer number (92810025).

Almost surely, 22137617376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137617376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227440600).

2137617376 is an abundant number, since it is smaller than the sum of its proper divisors (2317263824).

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

2137617376 is a wasteful number, since it uses less digits than its factorization.

2137617376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53651 (or 53643 counting only the distinct ones).

The product of its digits is 222264, while the sum is 43.

The square root of 2137617376 is about 46234.3743982764. The cubic root of 2137617376 is about 1288.1803111633.

The spelling of 2137617376 in words is "two billion, one hundred thirty-seven million, six hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1247 1376 2494 4988 9976 19952 39904 53569 107138 214276 428552 857104 1553501 1714208 2303467 3107002 4606934 6214004 9213868 12428008 18427736 24856016 36855472 49712032 66800543 73710944 133601086 267202172 534404344 1068808688 2137617376