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3946008180940 = 2257113281887657
BaseRepresentation
bin111001011011000000011…
…010100111100011001100
3111222020100002120002222221
4321123000122213203030
51004122411043242230
612220434321545124
7555042522055660
oct71330032474314
914866302502887
103946008180940
111291546822901
1253891a1a51a4
1322815103cbc7
14d8db87c88a0
156c9a0e5927a
hex396c06a78cc

3946008180940 has 96 divisors (see below), whose sum is σ = 9588240273024. Its totient is φ = 1336170823680.

The previous prime is 3946008180853. The next prime is 3946008180941. The reversal of 3946008180940 is 490818006493.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3946008180941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4001592 + ... + 4889248.

It is an arithmetic number, because the mean of its divisors is an integer number (99877502844).

Almost surely, 23946008180940 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 3946008180940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794120136512).

3946008180940 is an abundant number, since it is smaller than the sum of its proper divisors (5642232092084).

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

3946008180940 is a wasteful number, since it uses less digits than its factorization.

3946008180940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888067 (or 888065 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 3946008180940 in words is "three trillion, nine hundred forty-six billion, eight million, one hundred eighty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 281 452 562 565 791 1124 1130 1405 1582 1967 2260 2810 3164 3934 3955 5620 7868 7910 9835 15820 19670 31753 39340 63506 127012 158765 222271 317530 444542 635060 887657 889084 1111355 1775314 2222710 3550628 4438285 4445420 6213599 8876570 12427198 17753140 24854396 31067995 62135990 100305241 124271980 200610482 249431617 401220964 498863234 501526205 702136687 997726468 1003052410 1247158085 1404273374 1746021319 2006104820 2494316170 2808546748 3492042638 3510683435 4988632340 6984085276 7021366870 8730106595 14042733740 17460213190 28185772721 34920426380 56371545442 112743090884 140928863605 197300409047 281857727210 394600818094 563715454420 789201636188 986502045235 1973004090470 3946008180940