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61899699816 = 23324179265427
BaseRepresentation
bin111001101001100000…
…100111011001101000
312220202220012112222200
4321221200213121220
52003232310343231
644234125220200
74320634524063
oct715140473150
9186686175880
1061899699816
1124284848709
12bbb6101660
135ab61b7216
142dd2cbd8da
151924401be6
hexe69827668

61899699816 has 96 divisors (see below), whose sum is σ = 173908425600. Its totient is φ = 19875098880.

The previous prime is 61899699793. The next prime is 61899699847.

61899699816 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100495 + ... + 365921.

It is an arithmetic number, because the mean of its divisors is an integer number (1811546100).

Almost surely, 261899699816 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 61899699816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86954212800).

61899699816 is an abundant number, since it is smaller than the sum of its proper divisors (112008725784).

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

61899699816 is a wasteful number, since it uses less digits than its factorization.

61899699816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265559 (or 265552 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 72.

The spelling of 61899699816 in words is "sixty-one billion, eight hundred ninety-nine million, six hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 79 82 123 158 164 237 246 316 328 369 474 492 632 711 738 948 984 1422 1476 1896 2844 2952 3239 5688 6478 9717 12956 19434 25912 29151 38868 58302 77736 116604 233208 265427 530854 796281 1061708 1592562 2123416 2388843 3185124 4777686 6370248 9555372 10882507 19110744 20968733 21765014 32647521 41937466 43530028 62906199 65295042 83874932 87060056 97942563 125812398 130590084 167749864 188718597 195885126 251624796 261180168 377437194 391770252 503249592 754874388 783540504 859718053 1509748776 1719436106 2579154159 3438872212 5158308318 6877744424 7737462477 10316616636 15474924954 20633233272 30949849908 61899699816