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3656114140 = 225719272341
BaseRepresentation
bin1101100111101011…
…1101111111011100
3100102210121211201211
43121322331333130
524441431123030
61402443114204
7156413312620
oct33172757734
910383554654
103656114140
111606865738
12860512964
134635c9463
142697d9180
15165e9812a
hexd9ebdfdc

3656114140 has 72 divisors (see below), whose sum is σ = 9260933472. Its totient is φ = 1187533440.

The previous prime is 3656114131. The next prime is 3656114153. The reversal of 3656114140 is 414116563.

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 23 ways as a sum of consecutive naturals, for example, 14370 + ... + 86710.

It is an arithmetic number, because the mean of its divisors is an integer number (128624076).

Almost surely, 23656114140 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 3656114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630466736).

3656114140 is an abundant number, since it is smaller than the sum of its proper divisors (5604819332).

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

3656114140 is a wasteful number, since it uses less digits than its factorization.

3656114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72395 (or 72374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3656114140 is about 60465.8096778667. The cubic root of 3656114140 is about 1540.5409551751.

The spelling of 3656114140 in words is "three billion, six hundred fifty-six million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2660 3610 5054 7220 10108 12635 25270 50540 72341 144682 289364 361705 506387 723410 1012774 1374479 1446820 2025548 2531935 2748958 5063870 5497916 6872395 9621353 10127740 13744790 19242706 26115101 27489580 38485412 48106765 52230202 96213530 104460404 130575505 182805707 192427060 261151010 365611414 522302020 731222828 914028535 1828057070 3656114140