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213040266408 = 233214991973911
BaseRepresentation
bin1100011001101000110…
…0000111110010101000
3202100220010211212002100
43012122030013302220
511442301302011113
6241511440133400
721251223246264
oct3063214076250
9670803755070
10213040266408
1182393749382
1235356907260
1317121b4ba48
14a44dd2d0a4
15581d1cbd73
hex319a307ca8

213040266408 has 48 divisors (see below), whose sum is σ = 577369260000. Its totient is φ = 70966012320.

The previous prime is 213040266353. The next prime is 213040266431. The reversal of 213040266408 is 804662040312.

213040266408 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 0 + 2 + 6 + 640 + 8 = 666.

It is a super-2 number, since 2×2130402664082 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879028 + ... + 1094883.

It is an arithmetic number, because the mean of its divisors is an integer number (12028526250).

Almost surely, 2213040266408 is an apocalyptic number.

It is an amenable number.

213040266408 is an abundant number, since it is smaller than the sum of its proper divisors (364328993592).

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

213040266408 is a wasteful number, since it uses less digits than its factorization.

213040266408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975422 (or 1975415 counting only the distinct ones).

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

The spelling of 213040266408 in words is "two hundred thirteen billion, forty million, two hundred sixty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1499 2998 4497 5996 8994 11992 13491 17988 26982 35976 53964 107928 1973911 3947822 5921733 7895644 11843466 15791288 17765199 23686932 35530398 47373864 71060796 142121592 2958892589 5917785178 8876677767 11835570356 17753355534 23671140712 26630033301 35506711068 53260066602 71013422136 106520133204 213040266408