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13846498740 = 22325229335917
BaseRepresentation
bin11001110010101000…
…01100110110110100
31022201222122000102200
430321110030312310
5211324200424430
610205550304500
71000062203664
oct147124146664
938658560380
1013846498740
115965a95498
1228251b8130
1313c8885429
14954d5a1a4
15560911460
hex33950cdb4

13846498740 has 72 divisors (see below), whose sum is σ = 42184582440. Its totient is φ = 3676264704.

The previous prime is 13846498711. The next prime is 13846498741. The reversal of 13846498740 is 4789464831.

13846498740 is a `hidden beast` number, since 1 + 3 + 84 + 6 + 498 + 74 + 0 = 666.

13846498740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8893998864 + 4952499876 = 94308^2 + 70374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846498741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126739 + ... + 209178.

Almost surely, 213846498740 is an apocalyptic number.

13846498740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13846498740 is an abundant number, since it is smaller than the sum of its proper divisors (28338083700).

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

13846498740 is a wasteful number, since it uses less digits than its factorization.

13846498740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336161 (or 336156 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13846498740 in words is "thirteen billion, eight hundred forty-six million, four hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 335917 671834 1007751 1343668 1679585 2015502 3023253 3359170 4031004 5038755 6046506 6718340 10077510 12093012 15116265 20155020 30232530 60465060 76924993 153849986 230774979 307699972 384624965 461549958 692324937 769249930 923099916 1153874895 1384649874 1538499860 2307749790 2769299748 3461624685 4615499580 6923249370 13846498740