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6045719664153 = 313235340018443
BaseRepresentation
bin101011111111010000011…
…1110010001011000011001
3210101222001121011010120210
41113332200332101120121
51243023113213223103
620505210522041333
71162534366150521
oct127764076213031
923358047133523
106045719664153
111a20a80158864
1281784b349249
1334b1553a6900
1416c885c74681
15a73e2b7ee03
hex57fa0f91619

6045719664153 has 48 divisors (see below), whose sum is σ = 8756683481664. Its totient is φ = 3708536832000.

The previous prime is 6045719664133. The next prime is 6045719664191. The reversal of 6045719664153 is 3514669175406.

It is a happy number.

It is not a de Polignac number, because 6045719664153 - 210 = 6045719663129 is a prime.

It is a super-3 number, since 3×60457196641533 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 6045719664093 and 6045719664102.

It is not an unprimeable number, because it can be changed into a prime (6045719664133) 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, 716058750 + ... + 716067192.

It is an arithmetic number, because the mean of its divisors is an integer number (182430905868).

Almost surely, 26045719664153 is an apocalyptic number.

It is an amenable number.

6045719664153 is a deficient number, since it is larger than the sum of its proper divisors (2710963817511).

6045719664153 is a wasteful number, since it uses less digits than its factorization.

6045719664153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826 (or 12813 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 6045719664153 in words is "six trillion, forty-five billion, seven hundred nineteen million, six hundred sixty-four thousand, one hundred fifty-three".

Divisors: 1 3 13 39 169 353 507 1059 4001 4589 8443 12003 13767 25329 52013 59657 109759 156039 178971 329277 676169 1412353 1426867 2028507 2980379 4237059 4280601 8941137 18360589 33780443 38744927 55081767 101341329 116234781 238687657 439145759 503684051 716062971 1317437277 1511052153 5708894867 11924496379 17126684601 35773489137 155018452927 465055358781 2015239888051 6045719664153