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1612868004 = 2233114133113
BaseRepresentation
bin110000000100010…
…0110100110100100
311011101220011222000
41200020212212210
511300343234004
6424013205300
754653103036
oct14010464644
94141804860
101612868004
11758470670
12390190830
131c91bcb87
141142c3c56
15968e1c39
hex602269a4

1612868004 has 96 divisors (see below), whose sum is σ = 4673047680. Its totient is φ = 476812800.

The previous prime is 1612867981. The next prime is 1612868051. The reversal of 1612868004 is 4008682161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1612868004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32152 + ... + 65264.

It is an arithmetic number, because the mean of its divisors is an integer number (48677580).

Almost surely, 21612868004 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 1612868004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336523840).

1612868004 is an abundant number, since it is smaller than the sum of its proper divisors (3060179676).

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

1612868004 is a wasteful number, since it uses less digits than its factorization.

1612868004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33178 (or 33170 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1612868004 is about 40160.5279347770. The cubic root of 1612868004 is about 1172.7342494890.

The spelling of 1612868004 in words is "one billion, six hundred twelve million, eight hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 33113 48708 66226 99339 132452 198678 298017 364243 397356 596034 728486 894051 1092729 1192068 1357633 1456972 1788102 2185458 2715266 3278187 3576204 4072899 4370916 5430532 6556374 8145798 9834561 12218697 13112748 14933963 16291596 19669122 24437394 29867926 36656091 39338244 44801889 48874788 59735852 73312182 89603778 134405667 146624364 179207556 268811334 403217001 537622668 806434002 1612868004