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68818036224 = 293755711491
BaseRepresentation
bin100000000010111011…
…1111110011000000000
320120122001021110101110
41000011313332120000
52111414404124344
651340425203320
74654242441060
oct1000567763000
9216561243343
1068818036224
1127204a95203
1211407030540
1366495c97c2
14348ba5d3a0
151bcb9893b9
hex1005dfe600

68818036224 has 160 divisors (see below), whose sum is σ = 209920778496. Its totient is φ = 19625287680.

The previous prime is 68818036211. The next prime is 68818036229. The reversal of 68818036224 is 42263081886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68818036229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5983119 + ... + 5994609.

Almost surely, 268818036224 is an apocalyptic number.

68818036224 is a gapful number since it is divisible by the number (64) 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 68818036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104960389248).

68818036224 is an abundant number, since it is smaller than the sum of its proper divisors (141102742272).

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

68818036224 is a wasteful number, since it uses less digits than its factorization.

68818036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 68818036224 in words is "sixty-eight billion, eight hundred eighteen million, thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 557 672 768 896 1114 1344 1536 1671 1792 2228 2688 3342 3584 3899 4456 5376 6684 7798 8912 10752 11491 11697 13368 15596 17824 22982 23394 26736 31192 34473 35648 45964 46788 53472 62384 68946 71296 80437 91928 93576 106944 124768 137892 142592 160874 183856 187152 213888 241311 249536 275784 285184 321748 367712 374304 427776 482622 499072 551568 643496 735424 748608 855552 965244 998144 1103136 1286992 1470848 1497216 1930488 1996288 2206272 2573984 2941696 2994432 3860976 4412544 5147968 5883392 5988864 6400487 7721952 8825088 10295936 12800974 15443904 17650176 19201461 20591872 25601948 30887808 38402922 41183744 44803409 51203896 61775616 76805844 89606818 102407792 123551232 134410227 153611688 179213636 204815584 268820454 307223376 358427272 409631168 537640908 614446752 716854544 819262336 1075281816 1228893504 1433709088 1638524672 2150563632 2457787008 2867418176 3277049344 4301127264 4915574016 5734836352 8602254528 9831148032 11469672704 17204509056 22939345408 34409018112 68818036224