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3808674016 = 257177114087
BaseRepresentation
bin1110001100000011…
…1100000011100000
3100211102200200112121
43203000330003200
530300010032031
61425533034024
7163245123610
oct34300740340
910742620477
103808674016
111684996184
128a3625914
134890b3584
14281b8ca40
15174581011
hexe303c0e0

3808674016 has 96 divisors (see below), whose sum is σ = 9202056192. Its totient is φ = 1514526720.

The previous prime is 3808673933. The next prime is 3808674017. The reversal of 3808674016 is 6104768083.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808674017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263325 + ... + 277411.

It is an arithmetic number, because the mean of its divisors is an integer number (95854752).

Almost surely, 23808674016 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 3808674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601028096).

3808674016 is an abundant number, since it is smaller than the sum of its proper divisors (5393382176).

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

3808674016 is a wasteful number, since it uses less digits than its factorization.

3808674016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 3808674016 is about 61714.4554865390. The cubic root of 3808674016 is about 1561.6771924394.

The spelling of 3808674016 in words is "three billion, eight hundred eight million, six hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 71 112 119 136 142 224 238 272 284 476 497 544 568 952 994 1136 1207 1904 1988 2272 2414 3808 3976 4828 7952 8449 9656 14087 15904 16898 19312 28174 33796 38624 56348 67592 98609 112696 135184 197218 225392 239479 270368 394436 450784 478958 788872 957916 1000177 1577744 1676353 1915832 2000354 3155488 3352706 3831664 4000708 6705412 7001239 7663328 8001416 13410824 14002478 16002832 17003009 26821648 28004956 32005664 34006018 53643296 56009912 68012036 112019824 119021063 136024072 224039648 238042126 272048144 476084252 544096288 952168504 1904337008 3808674016