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3676790196 = 2232372939421
BaseRepresentation
bin1101101100100111…
…0101110110110100
3100111020112021221200
43123021311312310
530012224241241
61404502212500
7160054125642
oct33311656664
910436467850
103676790196
1116174a7992
12867424130
13467988501
1426c45c192
15167bce4b6
hexdb275db4

3676790196 has 72 divisors (see below), whose sum is σ = 9578895144. Its totient is φ = 1188276480.

The previous prime is 3676790179. The next prime is 3676790219. The reversal of 3676790196 is 6910976763.

3676790196 is a `hidden beast` number, since 367 + 6 + 7 + 90 + 196 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1915812900 + 1760977296 = 43770^2 + 41964^2 .

It is a super-2 number, since 2×36767901962 = 27037572290803436832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385566 + ... + 394986.

Almost surely, 23676790196 is an apocalyptic number.

3676790196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676790196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789447572).

3676790196 is an abundant number, since it is smaller than the sum of its proper divisors (5902104948).

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

3676790196 is a wasteful number, since it uses less digits than its factorization.

3676790196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3676790196 is about 60636.5417549517. The cubic root of 3676790196 is about 1543.4395203411.

The spelling of 3676790196 in words is "three billion, six hundred seventy-six million, seven hundred ninety thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 293 333 444 586 666 879 1172 1332 1758 2637 3516 5274 9421 10548 10841 18842 21682 28263 32523 37684 43364 56526 65046 84789 97569 113052 130092 169578 195138 339156 348577 390276 697154 1045731 1394308 2091462 2760353 3137193 4182924 5520706 6274386 8281059 11041412 12548772 16562118 24843177 33124236 49686354 99372708 102133061 204266122 306399183 408532244 612798366 919197549 1225596732 1838395098 3676790196