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73420067336 = 23711259918089
BaseRepresentation
bin100010001100000101…
…1010101001000001000
321000111202210212021012
41010120023111020020
52200331014123321
653421222503052
75206263163310
oct1043013251010
9230452725235
1073420067336
1129156794300
1212290294a88
136c00b78435
1437a6d28440
151d9a9ce05b
hex11182d5208

73420067336 has 96 divisors (see below), whose sum is σ = 173229840000. Its totient is φ = 28555887360.

The previous prime is 73420067323. The next prime is 73420067341. The reversal of 73420067336 is 63376002437.

It is a junction number, because it is equal to n+sod(n) for n = 73420067293 and 73420067302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4049780 + ... + 4067868.

It is an arithmetic number, because the mean of its divisors is an integer number (1804477500).

Almost surely, 273420067336 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 73420067336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86614920000).

73420067336 is an abundant number, since it is smaller than the sum of its proper divisors (99809772664).

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

73420067336 is a wasteful number, since it uses less digits than its factorization.

73420067336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18723 (or 18708 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 73420067336 in words is "seventy-three billion, four hundred twenty million, sixty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 599 616 847 968 1198 1694 2396 3388 4193 4792 6589 6776 8386 13178 16772 18089 26356 33544 36178 46123 52712 72356 72479 92246 126623 144712 144958 184492 198979 253246 289916 368984 397958 506492 507353 579832 795916 1012984 1014706 1392853 1591832 2029412 2188769 2785706 4058824 4377538 5571412 8755076 10835311 11142824 15321383 17510152 21670622 30642766 43341244 61285532 75847177 86682488 119188421 122571064 151694354 238376842 303388708 476753684 606777416 834318947 953507368 1311072631 1668637894 2622145262 3337275788 5244290524 6674551576 9177508417 10488581048 18355016834 36710033668 73420067336