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6680149184 = 261789149463
BaseRepresentation
bin1100011100010101…
…01111110011000000
3122020112212201221202
412032022233303000
5102140104233214
63022510440332
7324353221412
oct61612576300
918215781852
106680149184
112918851a55
1213652030a8
13825c778c7
1447529a9b2
152916d86de
hex18e2afcc0

6680149184 has 112 divisors (see below), whose sum is σ = 14319504000. Its totient is φ = 3080749056.

The previous prime is 6680149169. The next prime is 6680149199. The reversal of 6680149184 is 4819410866.

It is an interprime number because it is at equal distance from previous prime (6680149169) and next prime (6680149199).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14427737 + ... + 14428199.

Almost surely, 26680149184 is an apocalyptic number.

6680149184 is a gapful number since it is divisible by the number (64) 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 6680149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159752000).

6680149184 is an abundant number, since it is smaller than the sum of its proper divisors (7639354816).

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

6680149184 is a wasteful number, since it uses less digits than its factorization.

6680149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 6680149184 is about 81732.1796112156. The cubic root of 6680149184 is about 1883.3399568793.

The spelling of 6680149184 in words is "six billion, six hundred eighty million, one hundred forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 136 149 178 272 298 356 463 544 596 712 926 1088 1192 1424 1513 1852 2384 2533 2848 3026 3704 4768 5066 5696 6052 7408 7871 9536 10132 12104 13261 14816 15742 20264 24208 26522 29632 31484 40528 41207 48416 53044 62968 68987 81056 82414 96832 106088 125936 137974 162112 164828 212176 225437 251872 275948 329656 424352 450874 503744 551896 659312 700519 848704 901748 1103792 1172779 1318624 1401038 1803496 2207584 2345558 2637248 2802076 3606992 4415168 4691116 5604152 6139843 7213984 9382232 11208304 12279686 14427968 18764464 22416608 24559372 37528928 44833216 49118744 75057856 98237488 104377331 196474976 208754662 392949952 417509324 835018648 1670037296 3340074592 6680149184