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8676374940 = 2234537144751
BaseRepresentation
bin10000001010010011…
…01111100110011100
3211101200010111220000
420011021233212130
5120232122444230
63552540454300
7425002653522
oct100511574634
924350114800
108676374940
113752650a02
12182184a390
13a8370008c
145c4452312
1535baa2b60
hex20526f99c

8676374940 has 120 divisors (see below), whose sum is σ = 27953927232. Its totient is φ = 2251152000.

The previous prime is 8676374897. The next prime is 8676374963. The reversal of 8676374940 is 494736768.

It is a happy number.

8676374940 is a `hidden beast` number, since 86 + 76 + 3 + 7 + 494 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12436 + ... + 132315.

Almost surely, 28676374940 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 8676374940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976963616).

8676374940 is an abundant number, since it is smaller than the sum of its proper divisors (19277552292).

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

8676374940 is a wasteful number, since it uses less digits than its factorization.

8676374940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144809 (or 144798 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 8676374940 is about 93147.0608231951. The cubic root of 8676374940 is about 2054.8467465232.

The spelling of 8676374940 in words is "eight billion, six hundred seventy-six million, three hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940 144751 289502 434253 579004 723755 868506 1302759 1447510 1737012 2171265 2605518 2895020 3908277 4342530 5211036 5355787 6513795 7816554 8685060 10711574 11724831 13027590 15633108 16067361 19541385 21423148 23449662 26055180 26778935 32134722 39082770 46899324 48202083 53557870 58624155 64269444 78165540 80336805 96404166 107115740 117248310 144606249 160673610 192808332 234496620 241010415 289212498 321347220 433818747 482020830 578424996 723031245 867637494 964041660 1446062490 1735274988 2169093735 2892124980 4338187470 8676374940