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13466641460 = 2251761364613
BaseRepresentation
bin11001000101010110…
…01010010000110100
31021202111212021012112
430202223022100310
5210034430011320
610104140510152
7654500364236
oct144253122064
937674767175
1013466641460
115790628058
122739b4b358
131367c771cc
1491a71a256
1553c3caec5
hex322aca434

13466641460 has 48 divisors (see below), whose sum is σ = 29992784976. Its totient is φ = 5061445632.

The previous prime is 13466641439. The next prime is 13466641481. The reversal of 13466641460 is 6414666431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13466641439) and next prime (13466641481).

It can be written as a sum of positive squares in 8 ways, for example, as 1996659856 + 11469981604 = 44684^2 + 107098^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176114 + ... + 240726.

It is an arithmetic number, because the mean of its divisors is an integer number (624849687).

Almost surely, 213466641460 is an apocalyptic number.

13466641460 is a gapful number since it is divisible by the number (10) 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 13466641460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996392488).

13466641460 is an abundant number, since it is smaller than the sum of its proper divisors (16526143516).

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

13466641460 is a wasteful number, since it uses less digits than its factorization.

13466641460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65252 (or 65250 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 13466641460 in words is "thirteen billion, four hundred sixty-six million, six hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 613 1226 2452 3065 6130 10421 12260 20842 41684 52105 64613 104210 129226 208420 258452 323065 646130 1098421 1292260 2196842 4393684 5492105 10984210 21968420 39607769 79215538 158431076 198038845 396077690 673332073 792155380 1346664146 2693328292 3366660365 6733320730 13466641460