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73483119128760 = 233511511311088753
BaseRepresentation
bin10000101101010100011111…
…001101100111000010111000
3100122011220202220202122111220
4100231110133031213002320
534112421411444110020
6420141402350352040
721322660123520445
oct2055243715470270
9318156686678456
1073483119128760
112146101a057940
1282a962babb620
133200575271763
14142085da329cc
158766e7d78240
hex42d51f3670b8

73483119128760 has 128 divisors (see below), whose sum is σ = 240495132360960. Its totient is φ = 17813724723200.

The previous prime is 73483119128681. The next prime is 73483119128779. The reversal of 73483119128760 is 6782191138437.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 73483119128694 and 73483119128703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66948544 + ... + 68037296.

It is an arithmetic number, because the mean of its divisors is an integer number (1878868221570).

Almost surely, 273483119128760 is an apocalyptic number.

It is an amenable number.

73483119128760 is an abundant number, since it is smaller than the sum of its proper divisors (167012013232200).

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

73483119128760 is a wasteful number, since it uses less digits than its factorization.

73483119128760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139909 (or 1139905 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 73483119128760 in words is "seventy-three trillion, four hundred eighty-three billion, one hundred nineteen million, one hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 51131 102262 153393 204524 255655 306786 409048 511310 562441 613572 766965 1022620 1088753 1124882 1227144 1533930 1687323 2045240 2177506 2249764 2812205 3067860 3266259 3374646 4355012 4499528 5443765 5624410 6135720 6532518 6749292 8436615 8710024 10887530 11248820 11976283 13065036 13498584 16331295 16873230 21775060 22497640 23952566 26130072 32662590 33746460 35928849 43550120 47905132 59881415 65325180 67492920 71857698 95810264 119762830 130650360 143715396 179644245 239525660 287430792 359288490 479051320 718576980 1437153960 55669029643 111338059286 167007088929 222676118572 278345148215 334014177858 445352237144 556690296430 612359326073 668028355716 835035444645 1113380592860 1224718652146 1336056711432 1670070889290 1837077978219 2226761185720 2449437304292 3061796630365 3340141778580 3674155956438 4898874608584 6123593260730 6680283557160 7348311912876 9185389891095 12247186521460 14696623825752 18370779782190 24494373042920 36741559564380 73483119128760