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272976342132 = 223132241155829
BaseRepresentation
bin1111111000111010101…
…0000110110001110100
3222002121012010222012210
43332032222012301310
513433023420422012
6325223102213420
725502415423654
oct3761652066164
9862535128183
10272976342132
11a585003515a
1244aa3284270
131c984286a00
14d2d8102364
15717a00423c
hex3f8ea86c74

272976342132 has 72 divisors (see below), whose sum is σ = 690007883040. Its totient is φ = 83956379520.

The previous prime is 272976342127. The next prime is 272976342137. The reversal of 272976342132 is 231243679272.

It is an interprime number because it is at equal distance from previous prime (272976342127) and next prime (272976342137).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272976342137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4861594 + ... + 4917422.

It is an arithmetic number, because the mean of its divisors is an integer number (9583442820).

Almost surely, 2272976342132 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 272976342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345003941520).

272976342132 is an abundant number, since it is smaller than the sum of its proper divisors (417031540908).

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

272976342132 is a wasteful number, since it uses less digits than its factorization.

272976342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58273 (or 58258 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 272976342132 in words is "two hundred seventy-two billion, nine hundred seventy-six million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2411 4822 7233 9644 14466 28932 31343 55829 62686 94029 111658 125372 167487 188058 223316 334974 376116 407459 669948 725777 814918 1222377 1451554 1629836 2177331 2444754 2903108 4354662 4889508 8709324 9435101 18870202 28305303 37740404 56610606 113221212 134603719 269207438 403811157 538414876 807622314 1615244628 1749848347 3499696694 5249545041 6999393388 10499090082 20998180164 22748028511 45496057022 68244085533 90992114044 136488171066 272976342132