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42654397184 = 287231676197
BaseRepresentation
bin100111101110011001…
…100111001100000000
311002002122202212220022
4213232121213030000
51144324011202214
631332315433012
73040005252050
oct475631471400
9132078685808
1042654397184
11170a9327a23
128324a55768
134039c90199
1420c8d2d560
151199a5ed8e
hex9ee667300

42654397184 has 144 divisors (see below), whose sum is σ = 102160493568. Its totient is φ = 17378144256.

The previous prime is 42654397171. The next prime is 42654397199. The reversal of 42654397184 is 48179345624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6879974 + ... + 6886170.

It is an arithmetic number, because the mean of its divisors is an integer number (709447872).

Almost surely, 242654397184 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 42654397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51080246784).

42654397184 is an abundant number, since it is smaller than the sum of its proper divisors (59506096384).

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

42654397184 is a wasteful number, since it uses less digits than its factorization.

42654397184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6396 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 53.

The spelling of 42654397184 in words is "forty-two billion, six hundred fifty-four million, three hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 167 184 224 256 322 334 368 448 644 668 736 896 1169 1288 1336 1472 1792 2338 2576 2672 2944 3841 4676 5152 5344 5888 6197 7682 9352 10304 10688 12394 15364 18704 20608 21376 24788 26887 30728 37408 41216 42752 43379 49576 53774 61456 74816 86758 99152 107548 122912 142531 149632 173516 198304 215096 245824 285062 299264 347032 396608 430192 491648 570124 694064 793216 860384 983296 997717 1034899 1140248 1388128 1586432 1720768 1995434 2069798 2280496 2776256 3441536 3990868 4139596 4560992 5552512 6883072 7244293 7981736 8279192 9121984 11105024 14488586 15963472 16558384 18243968 23802677 28977172 31926944 33116768 36487936 47605354 57954344 63853888 66233536 95210708 115908688 127707776 132467072 166618739 190421416 231817376 255415552 264934144 333237478 380842832 463634752 666474956 761685664 927269504 1332949912 1523371328 1854539008 2665899824 3046742656 5331799648 6093485312 10663599296 21327198592 42654397184