Search a number
-
+
12597743084820 = 22351433146519459
BaseRepresentation
bin1011011101010010010000…
…0000000110010100010100
31122121022222101010222200120
42313110210000012110110
53122400134212203240
642443153454511540
72440104550262625
oct267244400062424
948538871128616
1012597743084820
114017744604643
1214b563a8055b0
13704c678ab90a
14317a3c20ba4c
1516ca69a7cad0
hexb7524006514

12597743084820 has 48 divisors (see below), whose sum is σ = 35298296147520. Its totient is φ = 3357053821696.

The previous prime is 12597743084783. The next prime is 12597743084827. The reversal of 12597743084820 is 2848034779521.

It is a super-2 number, since 2×125977430848202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12597743084827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73173750 + ... + 73345709.

It is an arithmetic number, because the mean of its divisors is an integer number (735381169740).

Almost surely, 212597743084820 is an apocalyptic number.

12597743084820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12597743084820 is an abundant number, since it is smaller than the sum of its proper divisors (22700553062700).

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

12597743084820 is a wasteful number, since it uses less digits than its factorization.

12597743084820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146520904 (or 146520902 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 12597743084820 in words is "twelve trillion, five hundred ninety-seven billion, seven hundred forty-three million, eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1433 2866 4299 5732 7165 8598 14330 17196 21495 28660 42990 85980 146519459 293038918 439558377 586077836 732597295 879116754 1465194590 1758233508 2197791885 2930389180 4395583770 8791167540 209962384747 419924769494 629887154241 839849538988 1049811923735 1259774308482 2099623847470 2519548616964 3149435771205 4199247694940 6298871542410 12597743084820