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667485008216 = 23135925713229
BaseRepresentation
bin10011011011010010011…
…01001111000101011000
32100210220011210200012222
421231221031033011120
541414002130230331
61230345520123212
766136620646055
oct11555115170530
92323804720188
10667485008216
11238095982064
12a9443466508
134ac36026a30
1424440c6602c
1512569790b7b
hex9b6934f158

667485008216 has 96 divisors (see below), whose sum is σ = 1373864091600. Its totient is φ = 302224469760.

The previous prime is 667485008189. The next prime is 667485008261. The reversal of 667485008216 is 612800584766.

It is a happy number.

667485008216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6674850082162 (a number of 24 digits) contains 22 as substring.

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, 206714090 + ... + 206717318.

Almost surely, 2667485008216 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 667485008216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686932045800).

667485008216 is an abundant number, since it is smaller than the sum of its proper divisors (706379083384).

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

667485008216 is a wasteful number, since it uses less digits than its factorization.

667485008216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 667485008216 in words is "six hundred sixty-seven billion, four hundred eighty-five million, eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 571 767 1142 1534 2284 3068 3229 3481 4568 6136 6458 6962 7423 12916 13924 14846 25832 27848 29692 33689 41977 45253 59384 67378 83954 90506 134756 167908 181012 190511 269512 335816 362024 381022 437957 762044 875914 1524088 1751828 1843759 1987651 2476643 3503656 3687518 3975302 4953286 7375036 7950604 9906572 11240149 14750072 15901208 19813144 22480298 23968867 25839463 44960596 47937734 51678926 89921192 95875468 103357852 108781781 146121937 191750936 206715704 217563562 292243874 435127124 584487748 870254248 1168975496 1414163153 2828326306 5656652612 6418125079 11313305224 12836250158 25672500316 51345000632 83435626027 166871252054 333742504108 667485008216