Search a number
-
+
2116444565312 = 267111725263137
BaseRepresentation
bin11110110011000101111…
…011010010111101000000
321111022220122211122222022
4132303011323102331000
5234133434302042222
64300140424101012
7305623316656460
oct36630573227500
97438818748868
102116444565312
11746640866230
122a2221004768
1312476cc7311c
1474617927ba0
153a0c0c76042
hex1ecc5ed2f40

2116444565312 has 112 divisors (see below), whose sum is σ = 5544147212928. Its totient is φ = 776083537920.

The previous prime is 2116444565297. The next prime is 2116444565317. The reversal of 2116444565312 is 2135654446112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116444565317) 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, 12547793 + ... + 12715344.

Almost surely, 22116444565312 is an apocalyptic number.

2116444565312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2116444565312 is an abundant number, since it is smaller than the sum of its proper divisors (3427702647616).

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

2116444565312 is a wasteful number, since it uses less digits than its factorization.

2116444565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25263184 (or 25263174 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The spelling of 2116444565312 in words is "two trillion, one hundred sixteen billion, four hundred forty-four million, five hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 41888 83776 25263137 50526274 101052548 176841959 202105096 277894507 353683918 404210192 429473329 555789014 707367836 808420384 858946658 1111578028 1414735672 1616840768 1717893316 1945261549 2223156056 2829471344 3006313303 3435786632 3890523098 4446312112 4724206619 5658942688 6012626606 6871573264 7781046196 8892624224 9448413238 11317885376 12025253212 13743146528 15562092392 17785248448 18896826476 24050506424 27486293056 31124184784 33069446333 37793652952 48101012848 62248369568 66138892666 75587305904 96202025696 124496739136 132277785332 151174611808 192404051392 264555570664 302349223616 529111141328 1058222282656 2116444565312