Search a number
-
+
1914905987424 = 253217391116419
BaseRepresentation
bin11011110111011001010…
…010101000100101100000
320210001201002110010101200
4123313121102220211200
5222333211413044144
64023410133001200
7255230104221603
oct33673122504540
96701632403350
101914905987424
1167911a565761
1226b156183200
1310b761c75541
146897938033a
1534c276d6c69
hex1bdd94a8960

1914905987424 has 72 divisors (see below), whose sum is σ = 5765838263640. Its totient is φ = 600754818048.

The previous prime is 1914905987419. The next prime is 1914905987429. The reversal of 1914905987424 is 4247895094191.

1914905987424 is a `hidden beast` number, since 1 + 9 + 1 + 490 + 59 + 8 + 74 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1914905987419) and next prime (1914905987429).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914905987429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195553314 + ... + 195563105.

It is an arithmetic number, because the mean of its divisors is an integer number (80081086995).

Almost surely, 21914905987424 is an apocalyptic number.

It is an amenable number.

1914905987424 is an abundant number, since it is smaller than the sum of its proper divisors (3850932276216).

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

1914905987424 is a wasteful number, since it uses less digits than its factorization.

1914905987424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391116452 (or 391116441 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1914905987424 in words is "one trillion, nine hundred fourteen billion, nine hundred five million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 391116419 782232838 1173349257 1564465676 2346698514 3128931352 3520047771 4693397028 6257862704 6648979123 7040095542 9386794056 12515725408 13297958246 14080191084 18773588112 19946937369 26595916492 28160382168 37547176224 39893874738 53191832984 56320764336 59840812107 79787749476 106383665968 112641528672 119681624214 159575498952 212767331936 239363248428 319150997904 478726496856 638301995808 957452993712 1914905987424