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3945792729222 = 23219711031577657
BaseRepresentation
bin111001011010110011100…
…100101111000010000110
3111222012210002011000210200
4321122303210233002012
51004121440414313342
612220401104031330
7555034264544601
oct71326344570206
914865702130720
103945792729222
111291446146833
1253887a002546
13228118505796
14d8d97d43338
156c98c09b94c
hex396b392f086

3945792729222 has 96 divisors (see below), whose sum is σ = 9214532421120. Its totient is φ = 1216562094720.

The previous prime is 3945792729181. The next prime is 3945792729251. The reversal of 3945792729222 is 2229272975493.

3945792729222 is a `hidden beast` number, since 3 + 9 + 457 + 9 + 2 + 72 + 92 + 22 = 666.

3945792729222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3945792729222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712218 + ... + 3289874.

It is an arithmetic number, because the mean of its divisors is an integer number (95984712720).

Almost surely, 23945792729222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3945792729222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607266210560).

3945792729222 is an abundant number, since it is smaller than the sum of its proper divisors (5268739691898).

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

3945792729222 is a wasteful number, since it uses less digits than its factorization.

3945792729222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577858 (or 1577855 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 3945792729222 in words is "three trillion, nine hundred forty-five billion, seven hundred ninety-two million, seven hundred twenty-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 103 114 142 171 206 213 309 342 426 618 639 927 1278 1349 1854 1957 2698 3914 4047 5871 7313 8094 11742 12141 14626 17613 21939 24282 35226 43878 65817 131634 138947 277894 416841 833682 1250523 1577657 2501046 3155314 4732971 9465942 14198913 28397826 29975483 59950966 89926449 112013647 162498671 179852898 224027294 269779347 324997342 336040941 487496013 539558694 672081882 974992026 1008122823 1462488039 2016245646 2128259293 2924976078 3087474749 4256518586 6174949498 6384777879 9262424247 11537405641 12769555758 18524848494 19154333637 23074811282 27787272741 34612216923 38308667274 55574545482 69224433846 103836650769 207673301538 219210707179 438421414358 657632121537 1315264243074 1972896364611 3945792729222