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354244164681 = 311371675573119
BaseRepresentation
bin1010010011110101001…
…10001111110001001001
31020212100212220002210110
411021322212033301021
521300443001232211
6430423145504533
734410333501141
oct5117246176111
91225325802713
10354244164681
11127263661070
12587a37a2149
1327535c6b684
14132073c3921
159334958ea6
hex527a98fc49

354244164681 has 64 divisors (see below), whose sum is σ = 533485854720. Its totient is φ = 207200828160.

The previous prime is 354244164679. The next prime is 354244164683. The reversal of 354244164681 is 186461442453.

It is an interprime number because it is at equal distance from previous prime (354244164679) and next prime (354244164683).

It is not a de Polignac number, because 354244164681 - 21 = 354244164679 is a prime.

It is a super-4 number, since 4×3542441646814 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a self number, because there is not a number n which added to its sum of digits gives 354244164681.

It is not an unprimeable number, because it can be changed into a prime (354244164683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113574640 + ... + 113577758.

It is an arithmetic number, because the mean of its divisors is an integer number (8335716480).

Almost surely, 2354244164681 is an apocalyptic number.

It is an amenable number.

354244164681 is a deficient number, since it is larger than the sum of its proper divisors (179241690039).

354244164681 is a wasteful number, since it uses less digits than its factorization.

354244164681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894.

The product of its digits is 2211840, while the sum is 48.

The spelling of 354244164681 in words is "three hundred fifty-four billion, two hundred forty-four million, one hundred sixty-four thousand, six hundred eighty-one".

Divisors: 1 3 11 33 37 111 167 407 501 557 1221 1671 1837 3119 5511 6127 6179 9357 18381 18537 20609 34309 61827 67969 93019 102927 115403 203907 226699 279057 346209 520873 680097 1023209 1269433 1562619 1737283 3069627 3441703 3808299 5211849 5729603 10325109 17188809 19110113 19272301 37858733 57330339 57816903 64279471 113576199 192838413 211995311 290126261 635985933 707074181 870378783 2121222543 3191388871 9574166613 10734671657 32204014971 118081388227 354244164681