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61672277832 = 233112346321937
BaseRepresentation
bin111001011011111101…
…000100011101001000
312220012001021022200020
4321123331010131020
52002301100342312
644155402540440
74312203466164
oct713375043510
9186161238606
1061672277832
1124178436160
12bb51b07720
135a7b04b4b9
142db09ddca4
15190e47c78c
hexe5bf44748

61672277832 has 128 divisors (see below), whose sum is σ = 175897128960. Its totient is φ = 17836600320.

The previous prime is 61672277813. The next prime is 61672277893. The reversal of 61672277832 is 23877227616.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 2800368 + ... + 2822304.

It is an arithmetic number, because the mean of its divisors is an integer number (1374196320).

Almost surely, 261672277832 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 61672277832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87948564480).

61672277832 is an abundant number, since it is smaller than the sum of its proper divisors (114224851128).

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

61672277832 is a wasteful number, since it uses less digits than its factorization.

61672277832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22443 (or 22439 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The spelling of 61672277832 in words is "sixty-one billion, six hundred seventy-two million, two hundred seventy-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 463 506 552 759 926 1012 1389 1518 1852 2024 2778 3036 3704 5093 5556 6072 10186 10649 11112 15279 20372 21298 21937 30558 31947 40744 42596 43874 61116 63894 65811 85192 87748 117139 122232 127788 131622 175496 234278 241307 255576 263244 351417 468556 482614 504551 526488 702834 723921 937112 965228 1009102 1405668 1447842 1513653 1930456 2018204 2811336 2895684 3027306 4036408 5550061 5791368 6054612 10156831 11100122 12109224 16650183 20313662 22200244 30470493 33300366 40627324 44400488 60940986 66600732 81254648 111725141 121881972 133201464 223450282 233607113 243763944 335175423 446900564 467214226 670350846 700821339 893801128 934428452 1340701692 1401642678 1868856904 2569678243 2681403384 2803285356 5139356486 5606570712 7709034729 10278712972 15418069458 20557425944 30836138916 61672277832