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1105068254472 = 23327135310729741
BaseRepresentation
bin10000000101001011001…
…100110110010100001000
310220122101002212202211100
4100011023030312110020
5121101134433120342
62203354503501400
7142560423115440
oct20051314662410
93818332782740
101105068254472
11396725247656
1215a205157860
1380290b14010
143b6b2655120
151db2a8dae4c
hex1014b336508

1105068254472 has 384 divisors, whose sum is σ = 3788264712960. Its totient is φ = 283265648640.

The previous prime is 1105068254471. The next prime is 1105068254509. The reversal of 1105068254472 is 2744528605011.

1105068254472 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 6 + 82 + 54 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (1105068254471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37141522 + ... + 37171262.

It is an arithmetic number, because the mean of its divisors is an integer number (9865272690).

Almost surely, 21105068254472 is an apocalyptic number.

1105068254472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105068254472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894132356480).

1105068254472 is an abundant number, since it is smaller than the sum of its proper divisors (2683196458488).

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

1105068254472 is a wasteful number, since it uses less digits than its factorization.

1105068254472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29933 (or 29926 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1105068254472 in words is "one trillion, one hundred five billion, sixty-eight million, two hundred fifty-four thousand, four hundred seventy-two".