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73073803068 = 2232717148711471
BaseRepresentation
bin100010000001110001…
…0011011111100111100
320222121122020210222200
41010003202123330330
52144123343144233
653323013111500
75164560035430
oct1040342337474
9228548223880
1073073803068
1128a99290892
12121b4328590
136b771cc736
143772d509c0
151d7a3d2313
hex110389bf3c

73073803068 has 144 divisors (see below), whose sum is σ = 223689682944. Its totient is φ = 19635171840.

The previous prime is 73073803021. The next prime is 73073803069. The reversal of 73073803068 is 86030837037.

73073803068 is a `hidden beast` number, since 7 + 307 + 38 + 0 + 306 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73073803069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6364573 + ... + 6376043.

It is an arithmetic number, because the mean of its divisors is an integer number (1553400576).

Almost surely, 273073803068 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 73073803068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111844841472).

73073803068 is an abundant number, since it is smaller than the sum of its proper divisors (150615879876).

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

73073803068 is a wasteful number, since it uses less digits than its factorization.

73073803068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73073803068 in words is "seventy-three billion, seventy-three million, eight hundred three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 1487 2142 2974 4284 4461 5948 8922 10409 11471 13383 17844 20818 22942 25279 26766 31227 34413 41636 45884 50558 53532 62454 68826 75837 80297 93681 101116 103239 124908 137652 151674 160594 176953 187362 195007 206478 227511 240891 303348 321188 353906 374724 390014 412956 455022 481782 530859 585021 707812 722673 780028 910044 963564 1061718 1170042 1365049 1445346 1592577 1755063 2123436 2340084 2730098 2890692 3185154 3510126 4095147 5460196 6370308 7020252 8190294 12285441 16380588 17057377 24570882 34114754 49141764 51172131 68229508 102344262 119401639 153516393 204688524 238803278 289975409 307032786 358204917 477606556 579950818 614065572 716409834 869926227 1074614751 1159901636 1432819668 1739852454 2029827863 2149229502 2609778681 3479704908 4059655726 4298459004 5219557362 6089483589 8119311452 10439114724 12178967178 18268450767 24357934356 36536901534 73073803068