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1290081700377 = 32325614402273
BaseRepresentation
bin10010110001011110110…
…111001000101000011001
311120022221000022121221200
4102301132313020220121
5132114041403403002
62424353320024413
7162130266344061
oct22613667105031
94508830277850
101290081700377
1145813653a958
1218a039902109
13948673142b2
14466242123a1
1523858304b1c
hex12c5edc8a19

1290081700377 has 12 divisors (see below), whose sum is σ = 1863508997844. Its totient is φ = 860027857920.

The previous prime is 1290081700361. The next prime is 1290081700403. The reversal of 1290081700377 is 7730071800921.

It can be written as a sum of positive squares in 2 ways, for example, as 578967288201 + 711114412176 = 760899^2 + 843276^2 .

It is not a de Polignac number, because 1290081700377 - 24 = 1290081700361 is a prime.

It is a super-2 number, since 2×12900817003772 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1290081700337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1908088 + ... + 2494185.

It is an arithmetic number, because the mean of its divisors is an integer number (155292416487).

Almost surely, 21290081700377 is an apocalyptic number.

It is an amenable number.

1290081700377 is a deficient number, since it is larger than the sum of its proper divisors (573427297467).

1290081700377 is a wasteful number, since it uses less digits than its factorization.

1290081700377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434840 (or 4434837 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1290081700377 in words is "one trillion, two hundred ninety billion, eighty-one million, seven hundred thousand, three hundred seventy-seven".

Divisors: 1 3 9 32561 97683 293049 4402273 13206819 39620457 143342411153 430027233459 1290081700377