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23345312416420 = 22529218411842889
BaseRepresentation
bin1010100111011100000010…
…00011011100001010100100
310001122210022221222001200011
411103232001003130022210
511024442144434311140
6121352404413100004
74626433414261561
oct523560103341244
9101583287861604
1023345312416420
117490767280145
122750589a87604
1310045b84aab57
145a9cc220b868
152a73e9d39cea
hex153b810dc2a4

23345312416420 has 48 divisors (see below), whose sum is σ = 50718028258800. Its totient is φ = 9015702958080.

The previous prime is 23345312416417. The next prime is 23345312416423. The reversal of 23345312416420 is 2461421354332.

It is an interprime number because it is at equal distance from previous prime (23345312416417) and next prime (23345312416423).

It can be written as a sum of positive squares in 8 ways, for example, as 1904560083364 + 21440752333056 = 1380058^2 + 4630416^2 .

It is a super-2 number, since 2×233453124164202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23345312416423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11746336 + ... + 13589224.

It is an arithmetic number, because the mean of its divisors is an integer number (1056625588725).

Almost surely, 223345312416420 is an apocalyptic number.

23345312416420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23345312416420 is an abundant number, since it is smaller than the sum of its proper divisors (27372715842380).

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

23345312416420 is a wasteful number, since it uses less digits than its factorization.

23345312416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864768 (or 1864766 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 23345312416420 in words is "twenty-three trillion, three hundred forty-five billion, three hundred twelve million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 21841 43682 87364 109205 218410 436820 633389 1266778 1842889 2533556 3166945 3685778 6333890 7371556 9214445 12667780 18428890 36857780 53443781 106887562 213775124 267218905 534437810 1068875620 40250538649 80501077298 161002154596 201252693245 402505386490 805010772980 1167265620821 2334531241642 4669062483284 5836328104105 11672656208210 23345312416420