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10146664643115 = 3572111396538363
BaseRepresentation
bin1001001110100111010001…
…0101110111101000101011
31022221000022111122002012110
42103221310111313220223
52312220332122034430
633325151405213403
72065033544264100
oct223516425675053
938830274562173
1010146664643115
1132621a3739180
12117a5a9561263
13587a986c6310
1427115b93caa7
15128e10cd87b0
hex93a74577a2b

10146664643115 has 96 divisors (see below), whose sum is σ = 22186832967936. Its totient is φ = 3892426755840.

The previous prime is 10146664643113. The next prime is 10146664643117. The reversal of 10146664643115 is 51134646664101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10146664643113) and next prime (10146664643117).

It is not a de Polignac number, because 10146664643115 - 21 = 10146664643113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10146664643113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48164077 + ... + 48374286.

It is an arithmetic number, because the mean of its divisors is an integer number (231112843416).

Almost surely, 210146664643115 is an apocalyptic number.

10146664643115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10146664643115 is an abundant number, since it is smaller than the sum of its proper divisors (12040168324821).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10146664643115 is a wasteful number, since it uses less digits than its factorization.

10146664643115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96538409 (or 96538402 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10146664643115 in words is "ten trillion, one hundred forty-six billion, six hundred sixty-four million, six hundred forty-three thousand, one hundred fifteen".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 385 429 455 539 637 715 735 1001 1155 1365 1617 1911 2145 2695 3003 3185 5005 7007 8085 9555 15015 21021 35035 105105 96538363 289615089 482691815 675768541 1061921993 1254998719 1448075445 2027305623 3185765979 3378842705 3764996157 4730379787 5309609965 6274993595 7433453951 8784991033 10136528115 13804985909 14191139361 15928829895 18824980785 22300361853 23651898935 26354973099 37167269755 41414957727 43924955165 52034177657 61494937231 69024929545 70955696805 96634901363 111501809265 131774865495 156102532971 184484811693 207074788635 260170888285 289904704089 307474686155 483174506815 676444309541 780512664855 922424058465 1449523520445 2029332928623 3382221547705 10146664643115