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73568582847368 = 23717298699306329
BaseRepresentation
bin10000101110100100000101…
…001111110100101110001000
3100122111002101000211101102022
4100232210011033310232020
534120321424202103433
6420244535042424012
721332104031244020
oct2056440517645610
9318432330741368
1073568582847368
11214942960a7644
128302101662008
13320864532615b
141424a4a29ca80
15878a4ad4b698
hex42e9053f4b88

73568582847368 has 128 divisors (see below), whose sum is σ = 172696600800000. Its totient is φ = 28648069029888.

The previous prime is 73568582847349. The next prime is 73568582847433. The reversal of 73568582847368 is 86374828586537.

It is a Cunningham number, because it is equal to 85772132-1.

It is a junction number, because it is equal to n+sod(n) for n = 73568582847292 and 73568582847301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240008828 + ... + 240315156.

It is an arithmetic number, because the mean of its divisors is an integer number (1349192193750).

Almost surely, 273568582847368 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 73568582847368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86348300400000).

73568582847368 is an abundant number, since it is smaller than the sum of its proper divisors (99128017952632).

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

73568582847368 is a wasteful number, since it uses less digits than its factorization.

73568582847368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315087 (or 315083 counting only the distinct ones).

The product of its digits is 13005619200, while the sum is 80.

The spelling of 73568582847368 in words is "seventy-three trillion, five hundred sixty-eight billion, five hundred eighty-two million, eight hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 812 952 986 1624 1972 3451 3944 6902 8699 13804 17398 27608 34796 60893 69592 121786 147883 243572 252271 295766 306329 487144 504542 591532 612658 1009084 1035181 1183064 1225316 1765897 2018168 2070362 2144303 2450632 3531794 4140724 4288606 4288607 5207593 7063588 8281448 8577212 8577214 8883541 10415186 14127176 17154424 17154428 17767082 20830372 30020249 34308856 35534164 36453151 41660744 60040498 62184787 71068328 72906302 120080996 124369574 145812604 151020197 240161992 248739148 291625208 302040394 497478296 604080788 1057141379 1208161576 2114282758 2664755971 4228565516 5329511942 8457131032 10659023884 18653291797 21318047768 37306583594 45300851507 74613167188 77277923159 90601703014 149226334376 154555846318 181203406028 309111692636 317105960549 362406812056 540945462113 618223385272 634211921098 1081890924226 1268423842196 1313724693703 2163781848452 2536847684392 2627449387406 4327563696904 5254898774812 9196072855921 10509797549624 18392145711842 36784291423684 73568582847368