Search a number
-
+
42779976720 = 24351313711531
BaseRepresentation
bin100111110101111000…
…101010010000010000
311002102102001222122020
4213311320222100100
51200103133223340
631353003211440
73043061542125
oct476570522020
9132372058566
1042779976720
11171631aa768
12835ab16b80
134059cbb8c0
1420db89c74c
1511a5ab89d0
hex9f5e2a410

42779976720 has 80 divisors (see below), whose sum is σ = 142819317312. Its totient is φ = 10530455040.

The previous prime is 42779976713. The next prime is 42779976721. The reversal of 42779976720 is 2767997724.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (42779976721) 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, 6852646 + ... + 6858885.

Almost surely, 242779976720 is an apocalyptic number.

42779976720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42779976720 is an abundant number, since it is smaller than the sum of its proper divisors (100039340592).

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

42779976720 is a wasteful number, since it uses less digits than its factorization.

42779976720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711560 (or 13711554 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 60.

The spelling of 42779976720 in words is "forty-two billion, seven hundred seventy-nine million, nine hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 13711531 27423062 41134593 54846124 68557655 82269186 109692248 137115310 164538372 178249903 205672965 219384496 274230620 329076744 356499806 411345930 534749709 548461240 658153488 712999612 822691860 891249515 1069499418 1096922480 1425999224 1645383720 1782499030 2138998836 2673748545 2851998448 3290767440 3564998060 4277997672 5347497090 7129996120 8555995344 10694994180 14259992240 21389988360 42779976720