Search a number
-
+
106418787865995 = 3511297604463309
BaseRepresentation
bin11000001100100110001110…
…000011000101010110001011
3111221210112111022002221011110
4120030212032003011112023
5102422031134143202440
61014200041035101403
731262334524605113
oct3014461603052613
9457715438087143
10106418787865995
11309a9a55466800
12bb288108a1863
13474c330339537
141c3c9a80bc043
15c482e4786080
hex60c98e0c558b

106418787865995 has 48 divisors (see below), whose sum is σ = 189085794780960. Its totient is φ = 51065060259840.

The previous prime is 106418787865967. The next prime is 106418787866021. The reversal of 106418787865995 is 599568787814601.

It is not a de Polignac number, because 106418787865995 - 210 = 106418787864971 is a prime.

It is a super-2 number, since 2×1064187878659952 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302055600 + ... + 302407709.

It is an arithmetic number, because the mean of its divisors is an integer number (3939287391270).

Almost surely, 2106418787865995 is an apocalyptic number.

106418787865995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106418787865995 is a deficient number, since it is larger than the sum of its proper divisors (82667006914965).

106418787865995 is a wasteful number, since it uses less digits than its factorization.

106418787865995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604463436 (or 604463425 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 84.

The spelling of 106418787865995 in words is "one hundred six trillion, four hundred eighteen billion, seven hundred eighty-seven million, eight hundred sixty-five thousand, nine hundred ninety-five".

Divisors: 1 3 5 11 15 33 55 97 121 165 291 363 485 605 1067 1455 1815 3201 5335 11737 16005 35211 58685 176055 604463309 1813389927 3022316545 6649096399 9066949635 19947289197 33245481995 58632940973 73140060389 99736445985 175898822919 219420181167 293164704865 365700301945 644962350703 879494114595 1097100905835 1934887052109 3224811753515 7094585857733 9674435260545 21283757573199 35472929288665 106418787865995