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73081069164 = 223231433374519
BaseRepresentation
bin100010000001111111…
…0001001111001101100
320222122010220222012100
41010003332021321230
52144132223203124
653323432535100
75165005560405
oct1040376117154
9228563828170
1073081069164
1128aa23a3a24
12121b6851490
136b78874abc
143773cc29ac
151d7ad6a1c9
hex1103f89e6c

73081069164 has 144 divisors (see below), whose sum is σ = 195748833280. Its totient is φ = 22952885760.

The previous prime is 73081069069. The next prime is 73081069181. The reversal of 73081069164 is 46196018037.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16169697 + ... + 16174215.

Almost surely, 273081069164 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 73081069164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97874416640).

73081069164 is an abundant number, since it is smaller than the sum of its proper divisors (122667764116).

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

73081069164 is a wasteful number, since it uses less digits than its factorization.

73081069164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 73081069164 in words is "seventy-three billion, eighty-one million, sixty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 337 372 387 516 558 674 774 1011 1116 1333 1348 1548 2022 2666 3033 3999 4044 4519 5332 6066 7998 9038 10447 11997 12132 13557 14491 15996 18076 20894 23994 27114 28982 31341 40671 41788 43473 47988 54228 57964 62682 81342 86946 94023 125364 130419 140089 162684 173892 188046 194317 260838 280178 376092 388634 420267 449221 521676 560356 582951 777268 840534 898442 1165902 1260801 1347663 1522903 1681068 1748853 1796884 2331804 2521602 2695326 3045806 3497706 4042989 4568709 5043204 5390652 6023827 6091612 6995412 8085978 9137418 12047654 13706127 16171956 18071481 18274836 24095308 27412254 36142962 47209993 54214443 54824508 65484829 72285924 94419986 108428886 130969658 141629979 188839972 196454487 216857772 261939316 283259958 392908974 424889937 566519916 589363461 785817948 849779874 1178726922 1699559748 2030029699 2357453844 4060059398 6090089097 8120118796 12180178194 18270267291 24360356388 36540534582 73081069164