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5674618740 = 22357107126271
BaseRepresentation
bin1010100100011101…
…11100111101110100
3112122110210111111110
411102032330331310
543110200244430
62335030435020
7260423314650
oct52216747564
915573714443
105674618740
1124521a105a
121124502a70
136c585238b
143bb90da60
152332b37b0
hex1523bcf74

5674618740 has 96 divisors (see below), whose sum is σ = 18328633344. Its totient is φ = 1284923520.

The previous prime is 5674618723. The next prime is 5674618823. The reversal of 5674618740 is 478164765.

It is a self number, because there is not a number n which added to its sum of digits gives 5674618740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18196 + ... + 108075.

It is an arithmetic number, because the mean of its divisors is an integer number (190923264).

Almost surely, 25674618740 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 5674618740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164316672).

5674618740 is an abundant number, since it is smaller than the sum of its proper divisors (12654014604).

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

5674618740 is a wasteful number, since it uses less digits than its factorization.

5674618740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126397 (or 126395 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 5674618740 is about 75330.0653125961. The cubic root of 5674618740 is about 1783.6606418959.

It can be divided in two parts, 567461 and 8740, that added together give a triangular number (576201 = T1073).

The spelling of 5674618740 in words is "five billion, six hundred seventy-four million, six hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 44940 126271 252542 378813 505084 631355 757626 883897 1262710 1515252 1767794 1894065 2525420 2651691 3535588 3788130 4419485 5303382 7576260 8838970 10606764 13258455 13510997 17677940 26516910 27021994 40532991 53033820 54043988 67554985 81065982 94576979 135109970 162131964 189153958 202664955 270219940 283730937 378307916 405329910 472884895 567461874 810659820 945769790 1134923748 1418654685 1891539580 2837309370 5674618740