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77001131232 = 2532267365039
BaseRepresentation
bin100011110110110100…
…0000000010011100000
321100202100012202102100
41013231220000103200
52230144242144412
655212425250400
75364105546654
oct1075550002340
9240670182370
1077001131232
112a724149643
1212b0b633a00
137351a5845c
143a26788a64
15200a09eedc
hex11eda004e0

77001131232 has 36 divisors (see below), whose sum is σ = 218971967760. Its totient is φ = 25667043648.

The previous prime is 77001131231. The next prime is 77001131239. The reversal of 77001131232 is 23213110077.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×770011312322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77001131196 and 77001131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77001131231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133682232 + ... + 133682807.

It is an arithmetic number, because the mean of its divisors is an integer number (6082554660).

Almost surely, 277001131232 is an apocalyptic number.

77001131232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77001131232 is an abundant number, since it is smaller than the sum of its proper divisors (141970836528).

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

77001131232 is a wasteful number, since it uses less digits than its factorization.

77001131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267365055 (or 267365044 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 77001131232 in words is "seventy-seven billion, one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 267365039 534730078 802095117 1069460156 1604190234 2138920312 2406285351 3208380468 4277840624 4812570702 6416760936 8555681248 9625141404 12833521872 19250282808 25667043744 38500565616 77001131232