Search a number
-
+
1930614091600 = 245217283913837
BaseRepresentation
bin11100000110000001100…
…100010010111101010000
320211120020211000111101211
4130012001210102331100
5223112344201412400
64034524544105504
7256324263004645
oct34060144227520
96746224014354
101930614091600
11684850361937
122721ba905294
1311009640a63c
146962964bdcc
153534676edba
hex1c181912f50

1930614091600 has 60 divisors (see below), whose sum is σ = 4911141569724. Its totient is φ = 726819420160.

The previous prime is 1930614091559. The next prime is 1930614091603. The reversal of 1930614091600 is 61904160391.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10272227904 + 1920341863696 = 101352^2 + 1385764^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930614091603) 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, 141950119 + ... + 141963718.

Almost surely, 21930614091600 is an apocalyptic number.

1930614091600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1930614091600 is an abundant number, since it is smaller than the sum of its proper divisors (2980527478124).

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

1930614091600 is a wasteful number, since it uses less digits than its factorization.

1930614091600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283913872 (or 283913861 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 1930614091600 in words is "one trillion, nine hundred thirty billion, six hundred fourteen million, ninety-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 283913837 567827674 1135655348 1419569185 2271310696 2839138370 4542621392 4826535229 5678276740 7097845925 9653070458 11356553480 14195691850 19306140916 22713106960 24132676145 28391383700 38612281832 48265352290 56782767400 77224563664 96530704580 113565534800 120663380725 193061409160 241326761450 386122818320 482653522900 965307045800 1930614091600