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104875036761 = 311223372571321
BaseRepresentation
bin110000110101100001…
…0100001000001011001
3101000200220212212110210
41201223002201001121
53204241002134021
6120102352001333
710401621050445
oct1415302410131
9330626785423
10104875036761
1140528251400
12183aa530249
139b747c7291
14510c6b3825
152adc209e76
hex186b0a1059

104875036761 has 96 divisors (see below), whose sum is σ = 165484617984. Its totient is φ = 58879180800.

The previous prime is 104875036759. The next prime is 104875036841. The reversal of 104875036761 is 167630578401.

It is not a de Polignac number, because 104875036761 - 21 = 104875036759 is a prime.

It is a super-2 number, since 2×1048750367612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104875036761.

It is not an unprimeable number, because it can be changed into a prime (104875036741) 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, 79389981 + ... + 79391301.

It is an arithmetic number, because the mean of its divisors is an integer number (1723798104).

Almost surely, 2104875036761 is an apocalyptic number.

104875036761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104875036761 is a deficient number, since it is larger than the sum of its proper divisors (60609581223).

104875036761 is a wasteful number, since it uses less digits than its factorization.

104875036761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 104875036761 in words is "one hundred four billion, eight hundred seventy-five million, thirty-six thousand, seven hundred sixty-one".

Divisors: 1 3 11 23 33 37 69 111 121 253 257 363 407 759 771 851 1221 1321 2553 2783 2827 3963 4477 5911 8349 8481 9361 9509 13431 14531 17733 28083 28527 30383 31097 43593 48877 65021 91149 93291 102971 104599 146631 159841 195063 218707 308913 313797 334213 339497 479523 537647 656121 715231 1002639 1018491 1124171 1150589 1612941 2145693 2405777 3372513 3451767 3676343 3734467 5914117 7217331 7808431 11029029 11203401 12365881 12561389 17742351 23425293 26463547 37097643 37684167 41079137 79390641 85892741 123237411 136024691 138175279 257678223 288911947 408074073 414525837 866735841 944820151 1519928069 2834460453 3178031417 4559784207 9534094251 34958345587 104875036761