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6137850642 = 2372113161223
BaseRepresentation
bin1011011011101100…
…00010101100010010
3120211202110010012120
411231312002230102
5100032242210032
62453015235110
7305046604200
oct55566025422
916752403176
106137850642
11266a725040
121233678a96
1376a8029b1
14423254070
1525dcb762c
hex16dd82b12

6137850642 has 96 divisors (see below), whose sum is σ = 16080850944. Its totient is φ = 1542794400.

The previous prime is 6137850623. The next prime is 6137850703. The reversal of 6137850642 is 2460587316.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6137850594 and 6137850603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69643 + ... + 130865.

It is an arithmetic number, because the mean of its divisors is an integer number (167508864).

Almost surely, 26137850642 is an apocalyptic number.

6137850642 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6137850642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040425472).

6137850642 is an abundant number, since it is smaller than the sum of its proper divisors (9943000302).

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

6137850642 is a wasteful number, since it uses less digits than its factorization.

6137850642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61284 (or 61277 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 6137850642 is about 78344.4359351703. The cubic root of 6137850642 is about 1830.9315374380.

The spelling of 6137850642 in words is "six billion, one hundred thirty-seven million, eight hundred fifty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 4557 4774 7161 9114 14322 16709 33418 50127 61223 100254 122446 183669 367338 428561 673453 857122 1285683 1346906 1897913 2020359 2571366 2999927 3795826 4040718 4714171 5693739 5999854 8999781 9428342 11387478 13285391 14142513 17999562 20877043 26570782 28285026 32999197 39856173 41754086 62631129 65998394 79712346 92997737 98997591 125262258 146139301 185995474 197995182 278993211 292278602 438417903 557986422 876835806 1022975107 2045950214 3068925321 6137850642