Search a number
-
+
10042206116320 = 255758271538743
BaseRepresentation
bin1001001000100010001000…
…1000001101100111100000
31022120000200121111002222201
42102020202020031213200
52304012414231210240
633205154212342544
72054345141410150
oct222104210154740
938500617432881
1010042206116320
11322196a609994
1211622b6614a54
1357ac8c2a1351
1426a08c6ca760
1512634a453d9a
hex9222220d9e0

10042206116320 has 96 divisors (see below), whose sum is σ = 27118627296768. Its totient is φ = 3442448982528.

The previous prime is 10042206116279. The next prime is 10042206116407. The reversal of 10042206116320 is 2361160224001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756869 + ... + 7295611.

It is an arithmetic number, because the mean of its divisors is an integer number (282485701008).

Almost surely, 210042206116320 is an apocalyptic number.

10042206116320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042206116320 is an abundant number, since it is smaller than the sum of its proper divisors (17076421180448).

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

10042206116320 is a wasteful number, since it uses less digits than its factorization.

10042206116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544592 (or 1544584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10042206116320 in words is "ten trillion, forty-two billion, two hundred six million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 5827 11654 23308 29135 40789 46616 58270 81578 93232 116540 163156 186464 203945 233080 326312 407890 466160 652624 815780 932320 1305248 1538743 1631560 3077486 3263120 6154972 6526240 7693715 10771201 12309944 15387430 21542402 24619888 30774860 43084804 49239776 53856005 61549720 86169608 107712010 123099440 172339216 215424020 246198880 344678432 430848040 861696080 1723392160 8966255461 17932510922 35865021844 44831277305 62763788227 71730043688 89662554610 125527576454 143460087376 179325109220 251055152908 286920174752 313818941135 358650218440 502110305816 627637882270 717300436880 1004220611632 1255275764540 1434600873760 2008441223264 2510551529080 5021103058160 10042206116320