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60250818640 = 2457350920269
BaseRepresentation
bin111000000111001110…
…101000100001010000
312202111222112201020111
4320013032220201100
51441343202144030
643402344051104
74232033336245
oct700716504120
9182458481214
1060250818640
112360901a8a1
12b815a63a94
1358b26c839c
142cb7d035cc
15187979962a
hexe073a8850

60250818640 has 80 divisors (see below), whose sum is σ = 142288102800. Its totient is φ = 23722315776.

The previous prime is 60250818637. The next prime is 60250818671. The reversal of 60250818640 is 4681805206.

It can be written as a sum of positive squares in 8 ways, for example, as 4490608144 + 55760210496 = 67012^2 + 236136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×602508186402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 60250818593 and 60250818602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962426 + ... + 2982694.

It is an arithmetic number, because the mean of its divisors is an integer number (1778601285).

Almost surely, 260250818640 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 60250818640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71144051400).

60250818640 is an abundant number, since it is smaller than the sum of its proper divisors (82037284160).

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

60250818640 is a wasteful number, since it uses less digits than its factorization.

60250818640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864 (or 20858 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 60250818640 in words is "sixty billion, two hundred fifty million, eight hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 509 584 730 1018 1168 1460 2036 2545 2920 4072 5090 5840 8144 10180 20269 20360 37157 40538 40720 74314 81076 101345 148628 162152 185785 202690 297256 324304 371570 405380 594512 743140 810760 1479637 1486280 1621520 2959274 2972560 5918548 7398185 10316921 11837096 14796370 20633842 23674192 29592740 41267684 51584605 59185480 82535368 103169210 118370960 165070736 206338420 412676840 753135233 825353680 1506270466 3012540932 3765676165 6025081864 7531352330 12050163728 15062704660 30125409320 60250818640