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61844550872 = 23132314633187
BaseRepresentation
bin111001100110001110…
…001111010011011000
312220122001102200212012
4321212032033103120
52003124201111442
644224435205052
74316365003016
oct714616172330
9186561380765
1061844550872
1124256700475
12bb9b746788
135aa7948300
142dc98458b6
15191e65b582
hexe6638f4d8

61844550872 has 96 divisors (see below), whose sum is σ = 129935738880. Its totient is φ = 27554567040.

The previous prime is 61844550871. The next prime is 61844550931. The reversal of 61844550872 is 27805544816.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61844550872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61844550871) 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 23 ways as a sum of consecutive naturals, for example, 19403663 + ... + 19406849.

It is an arithmetic number, because the mean of its divisors is an integer number (1353497280).

Almost surely, 261844550872 is an apocalyptic number.

61844550872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61844550872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64967869440).

61844550872 is an abundant number, since it is smaller than the sum of its proper divisors (68091188008).

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

61844550872 is a wasteful number, since it uses less digits than its factorization.

61844550872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 61844550872 in words is "sixty-one billion, eight hundred forty-four million, five hundred fifty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 463 676 806 926 1352 1612 1852 3187 3224 3704 5239 6019 6374 10478 12038 12748 14353 20956 24076 25496 28706 41431 41912 48152 57412 78247 82862 98797 114824 156494 165724 186589 197594 312988 331448 373178 395188 538603 625976 746356 790376 1077206 1284361 1475581 1492712 2154412 2425657 2568722 2951162 4308824 4851314 5137444 5902324 9702628 10274888 11804648 16696693 19182553 19405256 33393386 38365106 45743011 66786772 76730212 91486022 133573544 153460424 182972044 249373189 365944088 498746378 594659143 997492756 1189318286 1994985512 2378636572 4757273144 7730568859 15461137718 30922275436 61844550872