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73340007400068 = 223233759312110873
BaseRepresentation
bin10000101011001111001101…
…000101101100001010000100
3100121200020101012210120110220
4100223033031011230022010
534103100313343300233
6415551533445344340
721306432516064023
oct2053171505541204
9317606335716426
1073340007400068
11214063602309a2
1282859501080b0
1331bcc18b090a6
1414179650368ba
15872b1dd92eb3
hex42b3cd16c284

73340007400068 has 96 divisors (see below), whose sum is σ = 183702387407616. Its totient is φ = 22713407557632.

The previous prime is 73340007400067. The next prime is 73340007400109. The reversal of 73340007400068 is 86000470004337.

It is not an unprimeable number, because it can be changed into a prime (73340007400067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280 + ... + 12111152.

It is an arithmetic number, because the mean of its divisors is an integer number (1913566535496).

Almost surely, 273340007400068 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 73340007400068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91851193703808).

73340007400068 is an abundant number, since it is smaller than the sum of its proper divisors (110362380007548).

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

73340007400068 is a wasteful number, since it uses less digits than its factorization.

73340007400068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111533 (or 12111531 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73340007400068 in words is "seventy-three trillion, three hundred forty billion, seven million, four hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 593 851 1186 1702 1779 2372 2553 3404 3558 5106 7116 10212 13639 21941 27278 40917 43882 54556 65823 81834 87764 131646 163668 263292 504643 1009286 1513929 2018572 3027858 6055716 12110873 24221746 36332619 48443492 72665238 145330476 278550079 448102301 557100158 835650237 896204602 1114200316 1344306903 1671300474 1792409204 2688613806 3342600948 5377227612 7181747689 10306352923 14363495378 20612705846 21545243067 28726990756 30919058769 41225411692 43090486134 61838117538 86180972268 123676235076 165180196847 265724664493 330360393694 495540590541 531449328986 660720787388 797173993479 991081181082 1062898657972 1594347986958 1982162362164 3188695973916 6111667283339 12223334566678 18335001850017 24446669133356 36670003700034 73340007400068