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106079996952 = 2334971687667
BaseRepresentation
bin110001011001011011…
…1000100110000011000
3101010210220020012010000
41202302313010300120
53214222434400302
6120422114253000
710443522045066
oct1426267046030
9333726205100
10106079996952
1140a96435876
1218685b87160
13a007337387
1451c4735036
152b5cdc531c
hex18b2dc4c18

106079996952 has 80 divisors (see below), whose sum is σ = 300185507160. Its totient is φ = 34995442176.

The previous prime is 106079996951. The next prime is 106079996977. The reversal of 106079996952 is 259699970601.

106079996952 is a `hidden beast` number, since 10 + 607 + 9 + 9 + 9 + 6 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×1060799969522 (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 106079996952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106079996951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 780978 + ... + 906689.

Almost surely, 2106079996952 is an apocalyptic number.

106079996952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106079996952 is an abundant number, since it is smaller than the sum of its proper divisors (194105510208).

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

106079996952 is a wasteful number, since it uses less digits than its factorization.

106079996952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687782 (or 1687769 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 106079996952 in words is "one hundred six billion, seventy-nine million, nine hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 582 648 776 873 1164 1746 2328 2619 3492 5238 6984 7857 10476 15714 20952 31428 62856 1687667 3375334 5063001 6750668 10126002 13501336 15189003 20252004 30378006 40504008 45567009 60756012 91134018 121512024 136701027 163703699 182268036 273402054 327407398 364536072 491111097 546804108 654814796 982222194 1093608216 1309629592 1473333291 1964444388 2946666582 3928888776 4419999873 5893333164 8839999746 11786666328 13259999619 17679999492 26519999238 35359998984 53039998476 106079996952