Search a number
-
+
3497242417053 = 3711210912626837
BaseRepresentation
bin110010111001000011111…
…001000101011110011101
3110101022222211121021000220
4302321003321011132131
5424244323024321203
611234335550111553
7510444633031140
oct62710371053635
913338884537026
103497242417053
111129199198300
124859574ab5b9
131c4a33582498
14c13a5bb8057
1560e8821a653
hex32e43e4579d

3497242417053 has 48 divisors (see below), whose sum is σ = 5911380478080. Its totient is φ = 1800081740160.

The previous prime is 3497242417037. The next prime is 3497242417057. The reversal of 3497242417053 is 3507142427943.

It is not a de Polignac number, because 3497242417053 - 24 = 3497242417037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3497242416987 and 3497242417005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497242417057) 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 47 ways as a sum of consecutive naturals, for example, 6036450 + ... + 6590387.

It is an arithmetic number, because the mean of its divisors is an integer number (123153759960).

Almost surely, 23497242417053 is an apocalyptic number.

3497242417053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3497242417053 is a deficient number, since it is larger than the sum of its proper divisors (2414138061027).

3497242417053 is a wasteful number, since it uses less digits than its factorization.

3497242417053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626978 (or 12626967 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 3497242417053 in words is "three trillion, four hundred ninety-seven billion, two hundred forty-two million, four hundred seventeen thousand, fifty-three".

Divisors: 1 3 7 11 21 33 77 109 121 231 327 363 763 847 1199 2289 2541 3597 8393 13189 25179 39567 92323 276969 12626837 37880511 88387859 138895207 265163577 416685621 972266449 1376325233 1527847277 2916799347 4128975699 4583541831 9634276631 10694930939 15139577563 28902829893 32084792817 45418732689 105977042941 166535353193 317931128823 499606059579 1165747472351 3497242417053