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3901686412860 = 2234510492295947
BaseRepresentation
bin111000110001101110101…
…000011111011000111100
3111210222221020100000020000
4320301232220133120330
51002411123210202420
612144224320354300
7551613266210145
oct70615650373074
914728836300200
103901686412860
111274772299505
1253020aa75990
13223c097b9032
14d6bb2268acc
156b759d3d690
hex38c6ea1f63c

3901686412860 has 120 divisors (see below), whose sum is σ = 12251408122800. Its totient is φ = 1039457408256.

The previous prime is 3901686412859. The next prime is 3901686412879. The reversal of 3901686412860 is 682146861093.

3901686412860 is a `hidden beast` number, since 3 + 9 + 0 + 168 + 6 + 412 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3901686412797 and 3901686412806.

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 39 ways as a sum of consecutive naturals, for example, 551407 + ... + 2847353.

It is an arithmetic number, because the mean of its divisors is an integer number (102095067690).

Almost surely, 23901686412860 is an apocalyptic number.

3901686412860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901686412860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125704061400).

3901686412860 is an abundant number, since it is smaller than the sum of its proper divisors (8349721709940).

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

3901686412860 is a wasteful number, since it uses less digits than its factorization.

3901686412860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297017 (or 2297006 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3901686412860 in words is "three trillion, nine hundred one billion, six hundred eighty-six million, four hundred twelve thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1049 1620 2098 3147 4196 5245 6294 9441 10490 12588 15735 18882 20980 28323 31470 37764 47205 56646 62940 84969 94410 113292 141615 169938 188820 283230 339876 424845 566460 849690 1699380 2295947 4591894 6887841 9183788 11479735 13775682 20663523 22959470 27551364 34439205 41327046 45918940 61990569 68878410 82654092 103317615 123981138 137756820 185971707 206635230 247962276 309952845 371943414 413270460 619905690 743886828 929858535 1239811380 1859717070 2408448403 3719434140 4816896806 7225345209 9633793612 12042242015 14450690418 21676035627 24084484030 28901380836 36126726045 43352071254 48168968060 65028106881 72253452090 86704142508 108380178135 130056213762 144506904180 195084320643 216760356270 260112427524 325140534405 390168641286 433520712540 650281068810 780337282572 975421603215 1300562137620 1950843206430 3901686412860