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72416321041075 = 5211337131448999
BaseRepresentation
bin10000011101110010111101…
…000101110111001010110011
3100111101221011220221210010021
4100131302331011313022303
533442432111141303300
6414003333145144311
721152622641425204
oct2035627505671263
9314357156853107
1072416321041075
112108a65337a000
12815692748b097
133153aa301965b
1413c4d7bd395ab
15858aac17ad1a
hex41dcbd1772b3

72416321041075 has 96 divisors (see below), whose sum is σ = 102213118656000. Its totient is φ = 50851717488000.

The previous prime is 72416321041073. The next prime is 72416321041109. The reversal of 72416321041075 is 57014012361427.

It is not a de Polignac number, because 72416321041075 - 21 = 72416321041073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72416321041073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161059426 + ... + 161508424.

It is an arithmetic number, because the mean of its divisors is an integer number (1064719986000).

Almost surely, 272416321041075 is an apocalyptic number.

72416321041075 is a deficient number, since it is larger than the sum of its proper divisors (29796797614925).

72416321041075 is a wasteful number, since it uses less digits than its factorization.

72416321041075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449210 (or 449183 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 72416321041075 in words is "seventy-two trillion, four hundred sixteen billion, three hundred twenty-one million, forty-one thousand, seventy-five".

Divisors: 1 5 11 25 37 55 121 131 185 275 407 605 655 925 1331 1441 2035 3025 3275 4477 4847 6655 7205 10175 15851 22385 24235 33275 36025 49247 53317 79255 111925 121175 174361 246235 266585 396275 448999 586487 871805 1231175 1332925 2244995 2932435 4359025 4938989 6451357 11224975 14662175 16612963 24694945 32256785 54328879 58818869 83064815 123474725 161283925 182742593 271644395 294094345 415324075 597617669 647007559 913712965 1358221975 1470471725 2010168523 2176298153 2988088345 3235037795 4568564825 7117083149 10050842615 10881490765 14940441725 16175188975 22111853753 23939279683 35585415745 50254213075 54407453825 78287914639 110559268765 119696398415 177927078725 263332076513 391439573195 552796343825 598481992075 1316660382565 1957197865975 2896652841643 6583301912825 14483264208215 72416321041075