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6861442488 = 23317197691151
BaseRepresentation
bin1100110001111100…
…10100110110111000
3122201012000101121120
412120332110312320
5103023012124423
63052504305240
7332014204335
oct63076246670
918635011546
106861442488
112a0111832a
1213b5a72220
138546b2354
144913ad98c
152a2599ee3
hex198f94db8

6861442488 has 128 divisors (see below), whose sum is σ = 19160064000. Its totient is φ = 2034892800.

The previous prime is 6861442481. The next prime is 6861442561. The reversal of 6861442488 is 8842441686.

It is a super-2 number, since 2×68614424882 = 94158786032263260288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6861442488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6861442481) 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, 5960713 + ... + 5961863.

It is an arithmetic number, because the mean of its divisors is an integer number (149688000).

Almost surely, 26861442488 is an apocalyptic number.

6861442488 is a gapful number since it is divisible by the number (68) 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 6861442488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032000).

6861442488 is an abundant number, since it is smaller than the sum of its proper divisors (12298621512).

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

6861442488 is a wasteful number, since it uses less digits than its factorization.

6861442488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1961 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 6861442488 is about 82833.8245404617. The cubic root of 6861442488 is about 1900.2255030595.

The spelling of 6861442488 in words is "six billion, eight hundred sixty-one million, four hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 769 969 1151 1292 1538 1938 2302 2307 2584 3076 3453 3876 4604 4614 6152 6906 7752 9208 9228 13073 13812 14611 18456 19567 21869 26146 27624 29222 39134 39219 43738 43833 52292 58444 58701 65607 78268 78438 87476 87666 104584 116888 117402 131214 156536 156876 174952 175332 234804 248387 262428 313752 350664 371773 469608 496774 524856 743546 745161 885119 993548 1115319 1487092 1490322 1770238 1987096 2230638 2655357 2974184 2980644 3540476 4461276 5310714 5961288 7080952 8922552 10621428 15047023 16817261 21242856 30094046 33634522 45141069 50451783 60188092 67269044 90282138 100903566 120376184 134538088 180564276 201807132 285893437 361128552 403614264 571786874 857680311 1143573748 1715360622 2287147496 3430721244 6861442488