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2686044144 = 243723503691
BaseRepresentation
bin1010000000011001…
…1100011111110000
320221012021011212110
42200012130133300
521000111403034
61122311125320
7123363666330
oct24006343760
96835234773
102686044144
1111592247a3
1262b673840
1333a63b444
141b6a3d0c0
1510ac29de9
hexa019c7f0

2686044144 has 160 divisors (see below), whose sum is σ = 8303468544. Its totient is φ = 731554560.

The previous prime is 2686044133. The next prime is 2686044157. The reversal of 2686044144 is 4414406862.

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, 3886839 + ... + 3887529.

Almost surely, 22686044144 is an apocalyptic number.

2686044144 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 2686044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151734272).

2686044144 is an abundant number, since it is smaller than the sum of its proper divisors (5617424400).

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

2686044144 is a wasteful number, since it uses less digits than its factorization.

2686044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 2686044144 is about 51827.0599590600. The cubic root of 2686044144 is about 1390.0733436102.

The spelling of 2686044144 in words is "two billion, six hundred eighty-six million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 503 552 644 691 966 1006 1104 1288 1382 1509 1932 2012 2073 2576 2764 3018 3521 3864 4024 4146 4837 5528 6036 7042 7728 8048 8292 9674 10563 11056 11569 12072 14084 14511 15893 16584 19348 21126 23138 24144 28168 29022 31786 33168 34707 38696 42252 46276 47679 56336 58044 63572 69414 77392 80983 84504 92552 95358 111251 116088 127144 138828 161966 169008 185104 190716 222502 232176 242949 254288 277656 323932 333753 347573 381432 445004 485898 555312 647864 667506 695146 762864 890008 971796 1042719 1295728 1335012 1390292 1780016 1943592 2085438 2433011 2670024 2780584 3887184 4170876 4866022 5340048 5561168 7299033 7994179 8341752 9732044 14598066 15988358 16683504 19464088 23982537 29196132 31976716 38928176 47965074 55959253 58392264 63953432 95930148 111918506 116784528 127906864 167877759 191860296 223837012 335755518 383720592 447674024 671511036 895348048 1343022072 2686044144