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1133787098417 = 7922338832
BaseRepresentation
bin10000011111111010111…
…110100010110100110001
311000101111120110012111012
4100133322332202310301
5122033443444122132
62224504332200305
7144625205216441
oct20377276426461
94011446405435
101133787098417
113a7922294126
1216389b009095
1382bb993b2bc
143cc38886121
151e75bce80b2
hex107fafa2d31

1133787098417 has 18 divisors (see below), whose sum is σ = 1154556452322. Its totient is φ = 1113368596704.

The previous prime is 1133787098369. The next prime is 1133787098429. The reversal of 1133787098417 is 7148907873311.

It can be written as a sum of positive squares in only one way, i.e., 822360599281 + 311426499136 = 906841^2 + 558056^2 .

It is not a de Polignac number, because 1133787098417 - 238 = 858909191473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133787098317) 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 17 ways as a sum of consecutive naturals, for example, 1284016658 + ... + 1284017540.

It is an arithmetic number, because the mean of its divisors is an integer number (64142025129).

Almost surely, 21133787098417 is an apocalyptic number.

It is an amenable number.

1133787098417 is a deficient number, since it is larger than the sum of its proper divisors (20769353905).

1133787098417 is an frugal number, since it uses more digits than its factorization.

1133787098417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 59.

The spelling of 1133787098417 in words is "one trillion, one hundred thirty-three billion, seven hundred eighty-seven million, ninety-eight thousand, four hundred seventeen".

Divisors: 1 79 233 883 6241 18407 69757 205739 779689 1454153 5510803 16253381 61595431 181667537 1284017099 4866039049 14351735423 1133787098417