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23436004543129 = 17611931021114689
BaseRepresentation
bin1010101010000100111101…
…01110011100101010011001
310001222110102110012110011001
411111002132232130222121
511032433414130340004
6121502204000105001
74636124016525343
oct525023656345231
9101873373173131
1023436004543129
117516176653282
12276607a605161
13101000c813959
145b0446dd4293
152a9956d311a4
hex15509eb9ca99

23436004543129 has 32 divisors (see below), whose sum is σ = 25377122322720. Its totient is φ = 21562078003200.

The previous prime is 23436004543117. The next prime is 23436004543153. The reversal of 23436004543129 is 92134540063432.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 15371512105104 + 8064492438025 = 3920652^2 + 2839805^2 .

It is not a de Polignac number, because 23436004543129 - 243 = 14639911520921 is a prime.

It is a super-2 number, since 2×234360045431292 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23436004543429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204286617 + ... + 204401305.

It is an arithmetic number, because the mean of its divisors is an integer number (793035072585).

Almost surely, 223436004543129 is an apocalyptic number.

It is an amenable number.

23436004543129 is a deficient number, since it is larger than the sum of its proper divisors (1941117779591).

23436004543129 is a wasteful number, since it uses less digits than its factorization.

23436004543129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115981.

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 23436004543129 in words is "twenty-three trillion, four hundred thirty-six billion, four million, five hundred forty-three thousand, one hundred twenty-nine".

Divisors: 1 17 61 193 1021 1037 3281 11773 17357 62281 114689 197053 200141 1058777 1949713 3349901 6996029 12020233 22134977 117097469 118932493 204343961 376294609 1350233597 1990656973 7142945609 22599811517 22953971149 121430075353 384196795789 1378588502537 23436004543129