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13907484900 = 22325239312
BaseRepresentation
bin11001111001111001…
…10110000011100100
31022220020101102201100
430330330312003210
5211440304004100
610220005400100
71001432446131
oct147474660344
938806342640
1013907484900
11599745a281
122841709030
1314083b920a
1495d0b3588
15565e5b400
hex33cf360e4

13907484900 has 81 divisors (see below), whose sum is σ = 43603330953. Its totient is φ = 3707719200.

The previous prime is 13907484881. The next prime is 13907484919. The reversal of 13907484900 is 948470931.

The square root of 13907484900 is 117930.

It is a perfect power (a square), and thus also a powerful number.

13907484900 is a `hidden beast` number, since 1 + 3 + 90 + 74 + 8 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13907484881) and next prime (13907484919).

It can be written as a sum of positive squares in only one way, i.e., 5006694564 + 8900790336 = 70758^2 + 94344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3535935 + ... + 3539865.

Almost surely, 213907484900 is an apocalyptic number.

13907484900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13907484900 is the 117930-th square number.

It is an amenable number.

13907484900 is an abundant number, since it is smaller than the sum of its proper divisors (29695846053).

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

13907484900 is an equidigital number, since it uses as much as digits as its factorization.

13907484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13907484900 in words is "thirteen billion, nine hundred seven million, four hundred eighty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3931 7862 11793 15724 19655 23586 35379 39310 47172 58965 70758 78620 98275 117930 141516 176895 196550 235860 294825 353790 393100 589650 707580 884475 1179300 1768950 3537900 15452761 30905522 46358283 61811044 77263805 92716566 139074849 154527610 185433132 231791415 278149698 309055220 386319025 463582830 556299396 695374245 772638050 927165660 1158957075 1390748490 1545276100 2317914150 2781496980 3476871225 4635828300 6953742450 13907484900