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106774714384 = 24131731795257
BaseRepresentation
bin110001101110001000…
…1001101100000010000
3101012121022110111021021
41203130101031200100
53222133311330014
6121015052405224
710466656045252
oct1433421154020
9335538414237
10106774714384
11413125a7308
121883a776814
13a0b8247190
14524cad5cd2
152b9dda2624
hex18dc44d810

106774714384 has 80 divisors (see below), whose sum is σ = 236641447728. Its totient is φ = 46234976256.

The previous prime is 106774714381. The next prime is 106774714393. The reversal of 106774714384 is 483417477601.

It can be written as a sum of positive squares in 8 ways, for example, as 32775481600 + 73999232784 = 181040^2 + 272028^2 .

It is a super-2 number, since 2×1067747143842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (106774714381) 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, 1073284 + ... + 1168540.

Almost surely, 2106774714384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106774714384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320723864).

106774714384 is an abundant number, since it is smaller than the sum of its proper divisors (129866733344).

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

106774714384 is a wasteful number, since it uses less digits than its factorization.

106774714384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95612 (or 95606 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 106774714384 in words is "one hundred six billion, seven hundred seventy-four million, seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 317 442 634 884 1268 1768 2536 3536 4121 5072 5389 8242 10778 16484 21556 32968 43112 65936 70057 86224 95257 140114 190514 280228 381028 560456 762056 1120912 1238341 1524112 1619369 2476682 3238738 4953364 6477476 9906728 12954952 19813456 21051797 25909904 30196469 42103594 60392938 84207188 120785876 168414376 241571752 336828752 392554097 483143504 513339973 785108194 1026679946 1570216388 2053359892 3140432776 4106719784 6280865552 6673419649 8213439568 13346839298 26693678596 53387357192 106774714384