Search a number
-
+
1974098617345 = 53711299451553
BaseRepresentation
bin11100101110100001011…
…100100110010000000001
320222201111022211021121101
4130232201130212100001
5224320423221223340
64110515520254401
7262424001245641
oct34564134462001
96881438737541
101974098617345
116a1235228718
1227a715771401
1311420636c04a
146b79290a521
153653e108c9a
hex1cba1726401

1974098617345 has 16 divisors (see below), whose sum is σ = 2435098372560. Its totient is φ = 1535234494464.

The previous prime is 1974098617339. The next prime is 1974098617357. The reversal of 1974098617345 is 5437168904791.

It can be written as a sum of positive squares in 8 ways, for example, as 1894077441 + 1972204539904 = 43521^2 + 1404352^2 .

It is a cyclic number.

It is not a de Polignac number, because 1974098617345 - 211 = 1974098615297 is a prime.

It is a super-3 number, since 3×19740986173453 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4516912 + ... + 4934641.

It is an arithmetic number, because the mean of its divisors is an integer number (152193648285).

Almost surely, 21974098617345 is an apocalyptic number.

It is an amenable number.

1974098617345 is a deficient number, since it is larger than the sum of its proper divisors (460999755215).

1974098617345 is a wasteful number, since it uses less digits than its factorization.

1974098617345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452724.

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 1974098617345 in words is "one trillion, nine hundred seventy-four billion, ninety-eight million, six hundred seventeen thousand, three hundred forty-five".

Divisors: 1 5 37 185 1129 5645 41773 208865 9451553 47257765 349707461 1748537305 10670803337 53354016685 394819723469 1974098617345