Search a number
-
+
61440588396 = 22331164518017
BaseRepresentation
bin111001001110001001…
…001111101001101100
312212120220022021112000
4321032021033221230
52001312242312041
644120405012300
74303361245605
oct711611175154
9185526267460
1061440588396
1124069679490
12baa83b4090
135a4204a265
142d8bd2cdac
1518e8e63bb6
hexe4e24fa6c

61440588396 has 96 divisors (see below), whose sum is σ = 173819976960. Its totient is φ = 18613152000.

The previous prime is 61440588371. The next prime is 61440588397. The reversal of 61440588396 is 69388504416.

61440588396 is a `hidden beast` number, since 6 + 14 + 40 + 588 + 3 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61440588397) by changing a digit.

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, 7659780 + ... + 7667796.

It is an arithmetic number, because the mean of its divisors is an integer number (1810624760).

Almost surely, 261440588396 is an apocalyptic number.

61440588396 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61440588396 is an abundant number, since it is smaller than the sum of its proper divisors (112379388564).

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

61440588396 is a wasteful number, since it uses less digits than its factorization.

61440588396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 61440588396 in words is "sixty-one billion, four hundred forty million, five hundred eighty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 6451 8017 12902 16034 19353 24051 25804 32068 38706 48102 58059 70961 72153 77412 88187 96204 116118 141922 144306 174177 176374 212883 216459 232236 264561 283844 288612 348354 352748 425766 432918 529122 638649 696708 793683 851532 865836 1058244 1277298 1587366 1915947 2381049 2554596 3174732 3831894 4762098 7663788 9524196 51717667 103435334 155153001 206870668 310306002 465459003 568894337 620612004 930918006 1137788674 1396377009 1706683011 1861836012 2275577348 2792754018 3413366022 5120049033 5585508036 6826732044 10240098066 15360147099 20480196132 30720294198 61440588396