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4067828091036 = 22331031021358159
BaseRepresentation
bin111011001100011101011…
…100101100100010011100
3112101212202221012201211000
4323030131130230202130
51013121402442403121
612352422345230300
7566614400161503
oct73143534544234
915355687181730
104067828091036
111329179a00356
12558457492390
13236796298848
14100c5370b83a
1570c30a9c526
hex3b31d72c89c

4067828091036 has 96 divisors (see below), whose sum is σ = 10659070822400. Its totient is φ = 1341459299520.

The previous prime is 4067828090981. The next prime is 4067828091049. The reversal of 4067828091036 is 6301908287604.

4067828091036 is a `hidden beast` number, since 406 + 78 + 2 + 80 + 91 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11178525 + ... + 11536683.

Almost surely, 24067828091036 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 4067828091036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329535411200).

4067828091036 is an abundant number, since it is smaller than the sum of its proper divisors (6591242731364).

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

4067828091036 is a wasteful number, since it uses less digits than its factorization.

4067828091036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359296 (or 359288 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4067828091036 in words is "four trillion, sixty-seven billion, eight hundred twenty-eight million, ninety-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1021 1236 1854 2042 2781 3063 3708 4084 5562 6126 9189 11124 12252 18378 27567 36756 55134 105163 110268 210326 315489 358159 420652 630978 716318 946467 1074477 1261956 1432636 1892934 2148954 2839401 3223431 3785868 4297908 5678802 6446862 9670293 11357604 12893724 19340586 36890377 38681172 73780754 110671131 147561508 221342262 332013393 365680339 442684524 664026786 731360678 996040179 1097041017 1328053572 1462721356 1992080358 2194082034 3291123051 3984160716 4388164068 6582246102 9873369153 13164492204 19746738306 37665074917 39493476612 75330149834 112995224751 150660299668 225990449502 338985674253 451980899004 677971348506 1016957022759 1355942697012 2033914045518 4067828091036