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8672414088 = 23313109271941
BaseRepresentation
bin10000001001110101…
…01000100110001000
3211101101200021121210
420010322220212020
5120230114222323
63552315533120
7424624206042
oct100472504610
924341607553
108672414088
113750396078
12182045a1a0
13a82944290
145c3b00a92
1535b56e293
hex204ea8988

8672414088 has 128 divisors (see below), whose sum is σ = 23675097600. Its totient is φ = 2631398400.

The previous prime is 8672414087. The next prime is 8672414143. The reversal of 8672414088 is 8804142768.

It is a super-2 number, since 2×86724140882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8672414081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9215698 + ... + 9216638.

It is an arithmetic number, because the mean of its divisors is an integer number (184961700).

Almost surely, 28672414088 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 8672414088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837548800).

8672414088 is an abundant number, since it is smaller than the sum of its proper divisors (15002683512).

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

8672414088 is a wasteful number, since it uses less digits than its factorization.

8672414088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 8672414088 is about 93125.7971133670. The cubic root of 8672414088 is about 2054.5340128943.

The spelling of 8672414088 in words is "eight billion, six hundred seventy-two million, four hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 271 312 327 436 542 654 813 872 941 1084 1308 1417 1626 1882 2168 2616 2823 2834 3252 3523 3764 4251 5646 5668 6504 7046 7528 8502 10569 11292 11336 12233 14092 17004 21138 22584 24466 28184 29539 34008 36699 42276 48932 59078 73398 84552 88617 97864 102569 118156 146796 177234 205138 236312 255011 293592 307707 354468 384007 410276 510022 615414 708936 765033 768014 820552 1020044 1152021 1230828 1333397 1530066 1536028 2040088 2304042 2461656 2666794 3060132 3072056 3315143 4000191 4608084 5333588 6120264 6630286 8000382 9216168 9945429 10667176 13260572 16000764 19890858 26521144 27796199 32001528 39781716 55592398 79563432 83388597 111184796 166777194 222369592 333554388 361350587 667108776 722701174 1084051761 1445402348 2168103522 2890804696 4336207044 8672414088