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13871697920 = 21258232
BaseRepresentation
bin11001110101101000…
…10101000000000000
31022210202001021012122
430322310111000000
5211402123313140
610212250343412
71000516325663
oct147264250000
938722037178
1013871697920
115979236a63
12283172ab68
131400b691a2
149584396da
15562c3cab5
hex33ad15000

13871697920 has 78 divisors (see below), whose sum is σ = 33328507338. Its totient is φ = 5541937152.

The previous prime is 13871697871. The next prime is 13871697941. The reversal of 13871697920 is 2979617831.

It can be written as a sum of positive squares in only one way, i.e., 11097358336 + 2774339584 = 105344^2 + 52672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16854629 + ... + 16855451.

Almost surely, 213871697920 is an apocalyptic number.

13871697920 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 13871697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664253669).

13871697920 is an abundant number, since it is smaller than the sum of its proper divisors (19456809418).

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

13871697920 is an frugal number, since it uses more digits than its factorization.

13871697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 13871697920 in words is "thirteen billion, eight hundred seventy-one million, six hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 823 1024 1280 1646 2048 2560 3292 4096 4115 5120 6584 8230 10240 13168 16460 20480 26336 32920 52672 65840 105344 131680 210688 263360 421376 526720 677329 842752 1053440 1354658 1685504 2106880 2709316 3371008 3386645 4213760 5418632 6773290 8427520 10837264 13546580 16855040 21674528 27093160 43349056 54186320 86698112 108372640 173396224 216745280 346792448 433490560 693584896 866981120 1387169792 1733962240 2774339584 3467924480 6935848960 13871697920