Search a number
-
+
10145410651161 = 3317831671594639
BaseRepresentation
bin1001001110100010100110…
…0110010001010000011001
31022220220002010000200122000
42103220221212101100121
52312210300111314121
633324423131551213
72064660506443632
oct223505146212031
938826063020560
1010145410651161
11326170a905495
12117a2b95bb509
13587928979746
1427107d196889
15128d8ab85526
hex93a29991419

10145410651161 has 64 divisors (see below), whose sum is σ = 16202562969600. Its totient is φ = 6251389187328.

The previous prime is 10145410651121. The next prime is 10145410651163. The reversal of 10145410651161 is 16115601454101.

10145410651161 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 541 + 0 + 6 + 51 + 1 + 61 = 666.

It is not a de Polignac number, because 10145410651161 - 223 = 10145402262553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10145410651163) 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, 5564880 + ... + 7159518.

It is an arithmetic number, because the mean of its divisors is an integer number (253165046400).

Almost surely, 210145410651161 is an apocalyptic number.

It is an amenable number.

10145410651161 is a deficient number, since it is larger than the sum of its proper divisors (6057152318439).

10145410651161 is a wasteful number, since it uses less digits than its factorization.

10145410651161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594915 (or 1594909 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10145410651161 in words is "ten trillion, one hundred forty-five billion, four hundred ten million, six hundred fifty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 17 27 51 83 153 167 249 459 501 747 1411 1503 2241 2839 4233 4509 8517 12699 13861 25551 38097 41583 76653 124749 235637 374247 706911 1594639 2120733 4783917 6362199 14351751 27108863 43055253 81326589 132355037 243979767 266304713 397065111 731939301 798914139 1191195333 2250035629 2396742417 3573585999 4527180121 6750106887 7190227251 13581540363 20250320661 22103291179 40744621089 60750961983 66309873537 122233863267 198929620611 375755950043 596788861833 1127267850129 3381803550387 10145410651161