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104035688631 = 33722910924877
BaseRepresentation
bin110000011100100000…
…0101010000010110111
3100221112102111120022000
41200321000222002313
53201031114014011
6115443205510343
710342046522400
oct1407100520267
9327472446260
10104035688631
1140137485766
12181b54123b3
139a6c948494
14506d0249a7
152a8d6ae356
hex183902a0b7

104035688631 has 96 divisors (see below), whose sum is σ = 187182072000. Its totient is φ = 56870118144.

The previous prime is 104035688597. The next prime is 104035688737. The reversal of 104035688631 is 136886530401.

104035688631 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 5 + 6 + 8 + 8 + 631 = 666.

It is not a de Polignac number, because 104035688631 - 26 = 104035688567 is a prime.

It is a super-2 number, since 2×1040356886312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104035688831) 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, 4169565 + ... + 4194441.

It is an arithmetic number, because the mean of its divisors is an integer number (1949813250).

Almost surely, 2104035688631 is an apocalyptic number.

104035688631 is a deficient number, since it is larger than the sum of its proper divisors (83146383369).

104035688631 is a wasteful number, since it uses less digits than its factorization.

104035688631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25038 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 104035688631 in words is "one hundred four billion, thirty-five million, six hundred eighty-eight thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 49 63 87 109 147 189 203 261 327 441 609 763 783 981 1323 1421 1827 2289 2943 3161 4263 5341 5481 6867 9483 12789 16023 20601 22127 24877 28449 38367 48069 66381 74631 85347 144207 154889 174139 199143 223893 464667 522417 597429 671679 721433 1218973 1394001 1567251 2164299 2711593 3656919 4182003 4701753 5050031 6492897 8134779 10970757 15150093 18981151 19478691 24404337 32912271 35350217 45450279 56943453 73213011 78636197 106050651 132868057 136350837 170830359 235908591 318151953 398604171 512491077 550453379 707725773 954455859 1195812513 1651360137 2123177319 3587437539 3853173653 4954080411 11559520959 14862241233 34678562877 104035688631