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73401728890867 = 13193167712015183
BaseRepresentation
bin10000101100001000101011…
…111110011111011111110011
3100121220010200200200011122121
4100230020223332133133303
534110103220044001432
6420040142211215111
721314046161102236
oct2054105376373763
9317803620604577
1073401728890867
112142a55341a523
1282958b65a7497
1331c59a40c8690
14141a93c3a741d
158745327e2197
hex42c22bf9f7f3

73401728890867 has 64 divisors (see below), whose sum is σ = 88402414141440. Its totient is φ = 60329712643200.

The previous prime is 73401728890799. The next prime is 73401728890871. The reversal of 73401728890867 is 76809882710437.

It is not a de Polignac number, because 73401728890867 - 235 = 73367369152499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73401728890796 and 73401728890805.

It is not an unprimeable number, because it can be changed into a prime (73401728890067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35416758 + ... + 37431940.

It is an arithmetic number, because the mean of its divisors is an integer number (1381287720960).

Almost surely, 273401728890867 is an apocalyptic number.

73401728890867 is a deficient number, since it is larger than the sum of its proper divisors (15000685250573).

73401728890867 is a wasteful number, since it uses less digits than its factorization.

73401728890867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015384.

The product of its (nonzero) digits is 227598336, while the sum is 70.

The spelling of 73401728890867 in words is "seventy-three trillion, four hundred one billion, seven hundred twenty-eight million, eight hundred ninety thousand, eight hundred sixty-seven".

Divisors: 1 13 19 31 67 71 247 403 589 871 923 1273 1349 2077 2201 4757 7657 16549 17537 27001 28613 39463 41819 61841 90383 147467 513019 543647 1174979 1917071 2015183 2801873 26197379 36424349 38288477 62470673 135017261 143077993 497750201 812118749 1186942787 1755224393 1860013909 2565327959 2718481867 4185535091 4435417783 9586225531 15430256231 33349263467 35340264271 54411956183 57660431179 79525166729 84272937877 124620931903 182138285089 297172991461 1033827167477 1095548192401 2367797706157 3863248888993 5646286837759 73401728890867