Search a number
-
+
214493233048632 = 23335916830919103
BaseRepresentation
bin110000110001010010011000…
…111101100110110000111000
31001010110100112012112222102000
4300301102120331212300320
5211103224120130024012
62040104455252341000
763115424161506456
oct6061223075466070
91033410465488360
10214493233048632
116238708425773a
1220082285914760
13928b818413755
143ad77566a19d6
1519be6db98cddc
hexc31498f66c38

214493233048632 has 64 divisors (see below), whose sum is σ = 605913087744000. Its totient is φ = 70285918169952.

The previous prime is 214493233048609. The next prime is 214493233048643. The reversal of 214493233048632 is 236840332394412.

214493233048632 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 9 + 323 + 304 + 8 + 6 + 3 + 2 = 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 15 ways as a sum of consecutive naturals, for example, 8415446808 + ... + 8415472295.

It is an arithmetic number, because the mean of its divisors is an integer number (9467391996000).

Almost surely, 2214493233048632 is an apocalyptic number.

It is an amenable number.

214493233048632 is an abundant number, since it is smaller than the sum of its proper divisors (391419854695368).

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

214493233048632 is a wasteful number, since it uses less digits than its factorization.

214493233048632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16830919177 (or 16830919167 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 214493233048632 in words is "two hundred fourteen trillion, four hundred ninety-three billion, two hundred thirty-three million, forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744 16830919103 33661838206 50492757309 67323676412 100985514618 134647352824 151478271927 201971029236 302956543854 403942058472 454434815781 605913087708 908869631562 993024227077 1211826175416 1817739263124 1986048454154 2979072681231 3635478526248 3972096908308 5958145362462 7944193816616 8937218043693 11916290724924 17874436087386 23832581449848 26811654131079 35748872174772 53623308262158 71497744349544 107246616524316 214493233048632