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7137823896 = 2333710634441
BaseRepresentation
bin1101010010111001…
…01000110010011000
3200102110002000122000
412221130220302120
5104104240331041
63140140201000
7341611334130
oct65134506230
920373060560
107137823896
11303312a815
121472539160
13899a30948
144b9d95ac0
152bb990bb6
hex1a9728c98

7137823896 has 128 divisors (see below), whose sum is σ = 22686182400. Its totient is φ = 2037000960.

The previous prime is 7137823843. The next prime is 7137823909. The reversal of 7137823896 is 6983287317.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605036 + ... + 1609476.

It is an arithmetic number, because the mean of its divisors is an integer number (177235800).

Almost surely, 27137823896 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 7137823896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343091200).

7137823896 is an abundant number, since it is smaller than the sum of its proper divisors (15548358504).

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

7137823896 is a wasteful number, since it uses less digits than its factorization.

7137823896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5516 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 7137823896 is about 84485.6431353872. The cubic root of 7137823896 is about 1925.4043246727.

The spelling of 7137823896 in words is "seven billion, one hundred thirty-seven million, eight hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1063 1512 2126 3189 4252 4441 6378 7441 8504 8882 9567 12756 13323 14882 17764 19134 22323 25512 26646 28701 29764 31087 35528 38268 39969 44646 53292 57402 59528 62174 66969 76536 79938 89292 93261 106584 114804 119907 124348 133938 159876 178584 186522 200907 229608 239814 248696 267876 279783 319752 373044 401814 479628 535752 559566 746088 803628 839349 959256 1119132 1607256 1678698 2238264 3357396 4720783 6714792 9441566 14162349 18883132 28324698 33045481 37766264 42487047 56649396 66090962 84974094 99136443 113298792 127461141 132181924 169948188 198272886 254922282 264363848 297409329 339896376 396545772 509844564 594818658 793091544 892227987 1019689128 1189637316 1784455974 2379274632 3568911948 7137823896