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676145656041037 = 72137011514198501
BaseRepresentation
bin1001100110111100110110110…
…1101001010000111001001101
310021200000220010022121000211121
42121233031231221100321031
51202110432300421303122
610354013005401320541
7262263624450325300
oct23157155551207115
93250026108530747
10676145656041037
11186493842832a36
1263a01684196151
1323038353181840
14bcd78a5386b37
1553281781b1bc7
hex266f36da50e4d

676145656041037 has 24 divisors (see below), whose sum is σ = 848247944026392. Its totient is φ = 534209230800000.

The previous prime is 676145656040963. The next prime is 676145656041047. The reversal of 676145656041037 is 730140656541676.

It can be written as a sum of positive squares in 4 ways, for example, as 117291044349801 + 558854611691236 = 10830099^2 + 23640106^2 .

It is not a de Polignac number, because 676145656041037 - 235 = 676111296302669 is a prime.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676145656041047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756652714 + ... + 757545787.

It is an arithmetic number, because the mean of its divisors is an integer number (35343664334433).

Almost surely, 2676145656041037 is an apocalyptic number.

It is an amenable number.

676145656041037 is a deficient number, since it is larger than the sum of its proper divisors (172102287985355).

676145656041037 is a wasteful number, since it uses less digits than its factorization.

676145656041037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514199229 (or 1514199222 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 61.

The spelling of 676145656041037 in words is "six hundred seventy-six trillion, one hundred forty-five billion, six hundred fifty-six million, forty-one thousand, thirty-seven".

Divisors: 1 7 13 49 91 637 701 4907 9113 34349 63791 446537 1514198501 10599389507 19684580513 74195726549 137792063591 964544445137 1061453149201 7430172044407 13798890939613 52011204310849 96592236577291 676145656041037