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137235586227420 = 223510546721686971
BaseRepresentation
bin11111001101000010100110…
…010111100001110011011100
3122222220121000222000121102110
4133031002212113201303130
5120441431440033234140
61203513054041554020
740622641521650112
oct3715024627416334
9588817028017373
10137235586227420
113a80031577907a
12134852141a5910
135b7634ca09485
1425c63487c1ab2
1510cec2c499380
hex7cd0a65e1cdc

137235586227420 has 48 divisors (see below), whose sum is σ = 384263302566528. Its totient is φ = 36595807648320.

The previous prime is 137235586227281. The next prime is 137235586227437. The reversal of 137235586227420 is 24722685532731.

It is a super-2 number, since 2×1372355862274202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4515466 + ... + 17171505.

It is an arithmetic number, because the mean of its divisors is an integer number (8005485470136).

Almost surely, 2137235586227420 is an apocalyptic number.

137235586227420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137235586227420 is an abundant number, since it is smaller than the sum of its proper divisors (247027716339108).

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

137235586227420 is a wasteful number, since it uses less digits than its factorization.

137235586227420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21792450 (or 21792448 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 137235586227420 in words is "one hundred thirty-seven trillion, two hundred thirty-five billion, five hundred eighty-six million, two hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 105467 210934 316401 421868 527335 632802 1054670 1265604 1582005 2109340 3164010 6328020 21686971 43373942 65060913 86747884 108434855 130121826 216869710 260243652 325304565 433739420 650609130 1301218260 2287259770457 4574519540914 6861779311371 9149039081828 11436298852285 13723558622742 22872597704570 27447117245484 34308896556855 45745195409140 68617793113710 137235586227420