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73374234352 = 24194116973469
BaseRepresentation
bin100010001010101110…
…0011111011011110000
321000101120120022020021
41010111130133123300
52200232300444402
653412504253224
75205165462406
oct1042534373360
9230346508207
1073374234352
112913292a301
1212278a71214
136bc451b923
1437a0bd7476
151d96978d37
hex111571f6f0

73374234352 has 80 divisors (see below), whose sum is σ = 153429242400. Its totient is φ = 33878753280.

The previous prime is 73374234331. The next prime is 73374234389. The reversal of 73374234352 is 25343247337.

It is a junction number, because it is equal to n+sod(n) for n = 73374234299 and 73374234308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21149674 + ... + 21153142.

It is an arithmetic number, because the mean of its divisors is an integer number (1917865530).

Almost surely, 273374234352 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 73374234352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76714621200).

73374234352 is an abundant number, since it is smaller than the sum of its proper divisors (80055008048).

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

73374234352 is a wasteful number, since it uses less digits than its factorization.

73374234352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5228 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 43.

The spelling of 73374234352 in words is "seventy-three billion, three hundred seventy-four million, two hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 1697 3116 3394 3469 6232 6788 6938 12464 13576 13876 27152 27752 32243 55504 64486 65911 69577 128972 131822 139154 142229 257944 263644 278308 284458 515888 527288 556616 568916 1054576 1113232 1137832 1321963 2275664 2643926 2702351 5287852 5404702 5886893 10575704 10809404 11773786 21151408 21618808 23547572 43237616 47095144 94190288 111850967 223701934 241362613 447403868 482725226 894807736 965450452 1789615472 1930900904 3861801808 4585889647 9171779294 18343558588 36687117176 73374234352