Search a number
-
+
420620979552 = 253379103111213
BaseRepresentation
bin1100001111011101111…
…01101100110101100000
31111012200210120200001020
412013232331230311200
523342412432321202
6521121451205440
742250244222634
oct6075675546540
91435623520036
10420620979552
11152425639564
1269629146880
1330883878aa7
1416502b32dc4
15ae1be285bc
hex61eef6cd60

420620979552 has 96 divisors (see below), whose sum is σ = 1108215924480. Its totient is φ = 139688962560.

The previous prime is 420620979523. The next prime is 420620979553. The reversal of 420620979552 is 255979026024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 420620979495 and 420620979504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420620979553) 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, 37506298 + ... + 37517510.

It is an arithmetic number, because the mean of its divisors is an integer number (11543915880).

Almost surely, 2420620979552 is an apocalyptic number.

It is an amenable number.

420620979552 is an abundant number, since it is smaller than the sum of its proper divisors (687594944928).

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

420620979552 is a wasteful number, since it uses less digits than its factorization.

420620979552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12628 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 420620979552 in words is "four hundred twenty billion, six hundred twenty million, nine hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1031 1137 1516 2062 2274 3032 3093 4124 4548 6064 6186 8248 9096 11213 12128 12372 16496 18192 22426 24744 32992 33639 36384 44852 49488 67278 89704 98976 134556 179408 269112 358816 390749 538224 781498 1076448 1172247 1562996 2344494 3125992 4249727 4688988 6251984 8499454 9377976 11560603 12503968 12749181 16998908 18755952 23121206 25498362 33997816 34681809 37511904 46242412 50996724 67995632 69363618 92484824 101993448 135991264 138727236 184969648 203986896 277454472 369939296 407973792 554908944 1109817888 4381468537 8762937074 13144405611 17525874148 26288811222 35051748296 52577622444 70103496592 105155244888 140206993184 210310489776 420620979552