Search a number
-
+
10070407444374 = 2326736972258657
BaseRepresentation
bin1001001010001011001100…
…0011101111011110010110
31022122201111000021000022100
42102202303003233132112
52304443143301204444
633230140432542530
72056364040632364
oct222426303573626
938581430230270
1010070407444374
113232921516082
1211678670b1a46
13580834b1ca04
1426b5a5cc6634
15126e4b1d7e69
hex928b30ef796

10070407444374 has 48 divisors (see below), whose sum is σ = 22150875837168. Its totient is φ = 3305805060096.

The previous prime is 10070407444373. The next prime is 10070407444387. The reversal of 10070407444374 is 47344470407001.

10070407444374 is a `hidden beast` number, since 1 + 0 + 0 + 70 + 4 + 0 + 74 + 443 + 74 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070407444373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3329254 + ... + 5587910.

It is an arithmetic number, because the mean of its divisors is an integer number (461476579941).

Almost surely, 210070407444374 is an apocalyptic number.

10070407444374 is an abundant number, since it is smaller than the sum of its proper divisors (12080468392794).

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

10070407444374 is a wasteful number, since it uses less digits than its factorization.

10070407444374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262429 (or 2262426 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 10070407444374 in words is "ten trillion, seventy billion, four hundred seven million, four hundred forty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 3697 7394 11091 22182 33273 66546 247699 495398 743097 1486194 2229291 2258657 4458582 4517314 6775971 13551942 20327913 40655826 151330019 302660038 453990057 907980114 1361970171 2723940342 8350254929 16700509858 25050764787 50101529574 75152294361 150304588722 559467080243 1118934160486 1678401240729 3356802481458 5035203722187 10070407444374