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23433552540 = 22325313415931
BaseRepresentation
bin10101110100101111…
…111010001010011100
32020111010100210212100
4111310233322022130
5340442442140130
614433142205100
71456463624106
oct256457721234
966433323770
1023433552540
119a356a1952
12465ba23790
132295b4a728
1411c4308576
159223eec60
hex574bfa29c

23433552540 has 72 divisors (see below), whose sum is σ = 71309045808. Its totient is φ = 6228967680.

The previous prime is 23433552529. The next prime is 23433552559. The reversal of 23433552540 is 4525533432.

23433552540 is a `hidden beast` number, since 2 + 34 + 3 + 35 + 52 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23433552495 and 23433552504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151626 + ... + 264305.

It is an arithmetic number, because the mean of its divisors is an integer number (990403414).

Almost surely, 223433552540 is an apocalyptic number.

23433552540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23433552540 is an abundant number, since it is smaller than the sum of its proper divisors (47875493268).

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

23433552540 is a wasteful number, since it uses less digits than its factorization.

23433552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416259 (or 416254 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 23433552540 in words is "twenty-three billion, four hundred thirty-three million, five hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 9390 11268 14085 18780 28170 56340 415931 831862 1247793 1663724 2079655 2495586 3743379 4159310 4991172 6238965 7486758 8318620 12477930 14973516 18716895 24955860 37433790 74867580 130186403 260372806 390559209 520745612 650932015 781118418 1171677627 1301864030 1562236836 1952796045 2343355254 2603728060 3905592090 4686710508 5858388135 7811184180 11716776270 23433552540