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72116255334 = 231937612411163
BaseRepresentation
bin100001100101001110…
…1101011101001100110
320220010220110100102210
41003022131223221212
52140143230132314
653044005344250
75132052025164
oct1031235535146
9226126410383
1072116255334
1128647823022
1211b87708086
136a53a07346
1436c1ad4234
151d212d9559
hex10ca76ba66

72116255334 has 128 divisors (see below), whose sum is σ = 159277662720. Its totient is φ = 21685708800.

The previous prime is 72116255311. The next prime is 72116255347. The reversal of 72116255334 is 43355261127.

It is a junction number, because it is equal to n+sod(n) for n = 72116255292 and 72116255301.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 62008237 + ... + 62009399.

It is an arithmetic number, because the mean of its divisors is an integer number (1244356740).

Almost surely, 272116255334 is an apocalyptic number.

72116255334 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

72116255334 is an abundant number, since it is smaller than the sum of its proper divisors (87161407386).

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

72116255334 is a wasteful number, since it uses less digits than its factorization.

72116255334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526.

The product of its digits is 151200, while the sum is 39.

The spelling of 72116255334 in words is "seventy-two billion, one hundred sixteen million, two hundred fifty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 37 38 57 61 74 111 114 122 183 222 241 366 482 703 723 1159 1163 1406 1446 2109 2257 2318 2326 3477 3489 4218 4514 4579 6771 6954 6978 8917 9158 13542 13737 14701 17834 22097 26751 27474 29402 42883 43031 44103 44194 53502 66291 70943 85766 86062 88206 128649 129093 132582 141886 169423 212829 257298 258186 279319 280283 338846 425658 508269 543937 558638 560566 817589 837957 840849 1016538 1087874 1347917 1631811 1635178 1675914 1681698 2452767 2624891 2695834 3263622 4043751 4905534 5249782 5325377 7874673 8087502 10334803 10370471 10650754 15749346 15976131 17097263 20669606 20740942 31004409 31111413 31952262 34194526 49872929 51291789 62008818 62222826 99745858 102583578 149618787 197038949 299237574 324847997 394077898 591116847 632598731 649695994 974543991 1182233694 1265197462 1897796193 1949087982 3795592386 12019375889 24038751778 36058127667 72116255334