Search a number
-
+
774023740100 = 2252131933084989
BaseRepresentation
bin10110100001101110110…
…10001111101011000100
32201222220001020000100122
423100313122033223010
5100140200034140400
61351325343001112
7106631013143612
oct13206732175304
92658801200318
10774023740100
1127929724a206
12106016b99198
1357cb43c88a0
142966a4906b2
1515202a7c685
hexb43768fac4

774023740100 has 72 divisors (see below), whose sum is σ = 1818206726280. Its totient is φ = 284312494080.

The previous prime is 774023740069. The next prime is 774023740103. The reversal of 774023740100 is 1047320477.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 309687798016 + 464335942084 = 556496^2 + 681422^2 .

It is a super-2 number, since 2×7740237401002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (774023740103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291595 + ... + 1793394.

Almost surely, 2774023740100 is an apocalyptic number.

It is an amenable number.

774023740100 is an abundant number, since it is smaller than the sum of its proper divisors (1044182986180).

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

774023740100 is a wasteful number, since it uses less digits than its factorization.

774023740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085209 (or 3085202 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 774023740100 in words is "seven hundred seventy-four billion, twenty-three million, seven hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 193 260 325 386 650 772 965 1300 1930 2509 3860 4825 5018 9650 10036 12545 19300 25090 50180 62725 125450 250900 3084989 6169978 12339956 15424945 30849890 40104857 61699780 77124725 80209714 154249450 160419428 200524285 308498900 401048570 595402877 802097140 1002621425 1190805754 2005242850 2381611508 2977014385 4010485700 5954028770 7740237401 11908057540 14885071925 15480474802 29770143850 30960949604 38701187005 59540287700 77402374010 154804748020 193505935025 387011870050 774023740100