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73096442874 = 23371315239767
BaseRepresentation
bin100010000010011100…
…0110011001111111010
320222200012212000222000
41010010320303033322
52144200142132444
653325142241430
75165253340620
oct1040470631772
9228605760860
1073096442874
1129000044474
12121bba26276
136b7bac8580
143775d65510
151d7c3a5469
hex1104e333fa

73096442874 has 128 divisors (see below), whose sum is σ = 200073646080. Its totient is φ = 19263552192.

The previous prime is 73096442873. The next prime is 73096442921. The reversal of 73096442874 is 47824469037.

73096442874 is a `hidden beast` number, since 7 + 30 + 96 + 442 + 87 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 73096442874.

It is not an unprimeable number, because it can be changed into a prime (73096442873) 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, 7479139 + ... + 7488905.

It is an arithmetic number, because the mean of its divisors is an integer number (1563075360).

Almost surely, 273096442874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73096442874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100036823040).

73096442874 is an abundant number, since it is smaller than the sum of its proper divisors (126977203206).

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

73096442874 is a wasteful number, since it uses less digits than its factorization.

73096442874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11321 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 73096442874 in words is "seventy-three billion, ninety-six million, four hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1523 1638 2457 3046 4569 4914 9138 9767 10661 13707 19534 19799 21322 27414 29301 31983 39598 41121 58602 59397 63966 68369 82242 87903 95949 118794 126971 136738 138593 175806 178191 191898 205107 253942 263709 277186 287847 356382 380913 410214 415779 527418 534573 575694 615321 761826 831558 888797 1069146 1142739 1230642 1247337 1777594 1845963 2285478 2494674 2666391 3428217 3691926 3742011 5332782 6856434 7484022 7999173 14875141 15998346 23997519 29750282 44625423 47995038 89250846 104125987 133876269 193376833 208251974 267752538 312377961 386753666 401628807 580130499 624755922 803257614 937133883 1160260998 1353637831 1740391497 1874267766 2707275662 2811401649 3480782994 4060913493 5221174491 5622803298 8121826986 10442348982 12182740479 24365480958 36548221437 73096442874