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13945927060 = 22513216124821
BaseRepresentation
bin11001111110011110…
…11111010110010100
31022222220201111110001
430333033133112110
5212030124131220
610223501341044
71002410265322
oct147717372624
938886644401
1013945927060
115a0712645a
122852567784
131413358960
1496423cd12
1556950180a
hex33f3df594

13945927060 has 48 divisors (see below), whose sum is σ = 31555116432. Its totient is φ = 5146675200.

The previous prime is 13945927057. The next prime is 13945927063. The reversal of 13945927060 is 6072954931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13945927057) and next prime (13945927063).

It can be written as a sum of positive squares in 8 ways, for example, as 2213137936 + 11732789124 = 47044^2 + 108318^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13945927060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945927063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549450 + ... + 574270.

It is an arithmetic number, because the mean of its divisors is an integer number (657398259).

Almost surely, 213945927060 is an apocalyptic number.

13945927060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13945927060 is an abundant number, since it is smaller than the sum of its proper divisors (17609189372).

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

13945927060 is a wasteful number, since it uses less digits than its factorization.

13945927060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27004 (or 27002 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 13945927060 in words is "thirteen billion, nine hundred forty-five million, nine hundred twenty-seven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2161 4322 8644 10805 21610 24821 28093 43220 49642 56186 99284 112372 124105 140465 248210 280930 322673 496420 561860 645346 1290692 1613365 3226730 6453460 53638181 107276362 214552724 268190905 536381810 697296353 1072763620 1394592706 2789185412 3486481765 6972963530 13945927060