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13814604804 = 223711131767651
BaseRepresentation
bin11001101110110101…
…00010010000000100
31022122202121122011210
430313122202100010
5211243014323204
610202450531420
7666224126520
oct146732422004
938582548153
1013814604804
115949a91070
122816596b70
1313c2099390
14950a16d80
1555cc11389
hex3376a2404

13814604804 has 192 divisors, whose sum is σ = 45825841152. Its totient is φ = 3117312000.

The previous prime is 13814604773. The next prime is 13814604823. The reversal of 13814604804 is 40840641831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170379 + ... + 238029.

It is an arithmetic number, because the mean of its divisors is an integer number (238676256).

Almost surely, 213814604804 is an apocalyptic number.

13814604804 is a gapful number since it is divisible by the number (14) 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 13814604804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912920576).

13814604804 is an abundant number, since it is smaller than the sum of its proper divisors (32011236348).

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

13814604804 is a wasteful number, since it uses less digits than its factorization.

13814604804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67706 (or 67704 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13814604804 in words is "thirteen billion, eight hundred fourteen million, six hundred four thousand, eight hundred four".