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311093267992 = 23132317725863
BaseRepresentation
bin1001000011011101001…
…10101000111000011000
31002201222121212102121121
410201232212220320120
520044104334033432
6354525252215024
731322116101463
oct4415646507030
91081877772547
10311093267992
1110aa30048781
125036060a474
132344a180800
14110b25702da
15815b523197
hex486e9a8e18

311093267992 has 48 divisors (see below), whose sum is σ = 633613944240. Its totient is φ = 143128372608.

The previous prime is 311093267977. The next prime is 311093267999. The reversal of 311093267992 is 299762390113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311093267999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65653 + ... + 791515.

It is an arithmetic number, because the mean of its divisors is an integer number (13200290505).

Almost surely, 2311093267992 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 311093267992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316806972120).

311093267992 is an abundant number, since it is smaller than the sum of its proper divisors (322520676248).

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

311093267992 is a wasteful number, since it uses less digits than its factorization.

311093267992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726212 (or 726195 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The spelling of 311093267992 in words is "three hundred eleven billion, ninety-three million, two hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 169 317 338 634 676 1268 1352 2536 4121 8242 16484 32968 53573 107146 214292 428584 725863 1451726 2903452 5806904 9436219 18872438 37744876 75489752 122670847 230098571 245341694 460197142 490683388 920394284 981366776 1840788568 2991281423 5982562846 11965125692 23930251384 38886658499 77773316998 155546633996 311093267992