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106046424216 = 23324347337237
BaseRepresentation
bin110001011000011011…
…1000000010010011000
3101010201120001111222100
41202300313000102120
53214140341033331
6120414514523400
710442633506305
oct1426067002230
9333646044870
10106046424216
1140a79495107
1218676896560
13a0003b1155
1451c00b60ac
152b59e92ae6
hex18b0dc0498

106046424216 has 96 divisors (see below), whose sum is σ = 293991057360. Its totient is φ = 34514678016.

The previous prime is 106046424179. The next prime is 106046424227. The reversal of 106046424216 is 612424640601.

106046424216 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 642 + 4 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×1060464242162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14649750 + ... + 14656986.

Almost surely, 2106046424216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106046424216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146995528680).

106046424216 is an abundant number, since it is smaller than the sum of its proper divisors (187944633144).

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

106046424216 is a wasteful number, since it uses less digits than its factorization.

106046424216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106046424216 in words is "one hundred six billion, forty-six million, four hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4733 7237 9466 14199 14474 18932 21711 28398 28948 37864 42597 43422 56796 57896 65133 85194 86844 113592 130266 170388 173688 203519 260532 311191 340776 407038 521064 610557 622382 814076 933573 1221114 1244764 1628152 1831671 1867146 2442228 2489528 2800719 3663342 3734292 4884456 5601438 7326684 7468584 11202876 14653368 22405752 34252721 68505442 102758163 137010884 205516326 274021768 308274489 411032652 616548978 822065304 1233097956 1472867003 2466195912 2945734006 4418601009 5891468012 8837202018 11782936024 13255803027 17674404036 26511606054 35348808072 53023212108 106046424216