Search a number
-
+
1452635420656 = 24719682629427
BaseRepresentation
bin10101001000110111110…
…100010111011111110000
312010212111122211012121011
4111020313310113133300
5142244444131430111
63031155334240304
7206643442226650
oct25106764273760
95125448735534
101452635420656
11510071908942
121b56447b6094
13a6ca166bbb4
1450444d5c360
1527bbe080021
hex15237d177f0

1452635420656 has 40 divisors (see below), whose sum is σ = 3385841962880. Its totient is φ = 589791824064.

The previous prime is 1452635420567. The next prime is 1452635420669. The reversal of 1452635420656 is 6560245362541.

It is a super-2 number, since 2×14526354206562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341312586 + ... + 341316841.

It is an arithmetic number, because the mean of its divisors is an integer number (84646049072).

Almost surely, 21452635420656 is an apocalyptic number.

1452635420656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1452635420656 is an abundant number, since it is smaller than the sum of its proper divisors (1933206542224).

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

1452635420656 is a wasteful number, since it uses less digits than its factorization.

1452635420656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682629461 (or 682629455 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 1452635420656 in words is "one trillion, four hundred fifty-two billion, six hundred thirty-five million, four hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 682629427 1365258854 2730517708 4778405989 5461035416 9556811978 10922070832 12969959113 19113623956 25939918226 38227247912 51879836452 76454495824 90789713791 103759672904 181579427582 207519345808 363158855164 726317710328 1452635420656