Search a number
-
+
542220800832 = 26323919240203
BaseRepresentation
bin1111110001111101110…
…00001101001101000000
31220211120022002121202200
413320332320031031000
532340432011111312
61053032013313200
754113510522214
oct7707670151500
91824508077680
10542220800832
11199a55563027
1289104795800
133c192335769
141c35a724944
15e1875950dc
hex7e3ee0d340

542220800832 has 84 divisors (see below), whose sum is σ = 1554581071680. Its totient is φ = 180693395712.

The previous prime is 542220800767. The next prime is 542220800833. The reversal of 542220800832 is 238008022245.

542220800832 is a `hidden beast` number, since 542 + 2 + 2 + 0 + 80 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542220800833) 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, 2137243 + ... + 2377445.

It is an arithmetic number, because the mean of its divisors is an integer number (18506917520).

Almost surely, 2542220800832 is an apocalyptic number.

It is an amenable number.

542220800832 is an abundant number, since it is smaller than the sum of its proper divisors (1012360270848).

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

542220800832 is a wasteful number, since it uses less digits than its factorization.

542220800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244140 (or 244127 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 542220800832 in words is "five hundred forty-two billion, two hundred twenty million, eight hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3919 7838 11757 15676 23514 31352 35271 47028 62704 70542 94056 125408 141084 188112 240203 250816 282168 376224 480406 564336 720609 752448 960812 1128672 1441218 1921624 2161827 2257344 2882436 3843248 4323654 5764872 7686496 8647308 11529744 15372992 17294616 23059488 34589232 46118976 69178464 138356928 941355557 1882711114 2824066671 3765422228 5648133342 7530844456 8472200013 11296266684 15061688912 16944400026 22592533368 30123377824 33888800052 45185066736 60246755648 67777600104 90370133472 135555200208 180740266944 271110400416 542220800832