Search a number
-
+
190436488992 = 25331012182303
BaseRepresentation
bin1011000101011011100…
…1100011011100100000
3200012112211211222201000
42301112321203130200
511110003220121432
6223252454512000
716521123306501
oct2612671433440
9605484758630
10190436488992
11738444848a2
1230aa8965600
1314c5bbaaa19
149307d00ba8
154e48a8657c
hex2c56e63720

190436488992 has 96 divisors (see below), whose sum is σ = 560939420160. Its totient is φ = 62850297600.

The previous prime is 190436488967. The next prime is 190436488993. The reversal of 190436488992 is 299884634091.

190436488992 is a `hidden beast` number, since 190 + 4 + 364 + 8 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (190436488993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003888 + ... + 1178415.

It is an arithmetic number, because the mean of its divisors is an integer number (5843118960).

Almost surely, 2190436488992 is an apocalyptic number.

190436488992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190436488992 is an abundant number, since it is smaller than the sum of its proper divisors (370502931168).

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

190436488992 is a wasteful number, since it uses less digits than its factorization.

190436488992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182423 (or 2182409 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 190436488992 in words is "one hundred ninety billion, four hundred thirty-six million, four hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 101 108 144 202 216 288 303 404 432 606 808 864 909 1212 1616 1818 2424 2727 3232 3636 4848 5454 7272 9696 10908 14544 21816 29088 43632 87264 2182303 4364606 6546909 8729212 13093818 17458424 19640727 26187636 34916848 39281454 52375272 58922181 69833696 78562908 104750544 117844362 157125816 209501088 220412603 235688724 314251632 440825206 471377448 628503264 661237809 881650412 942754896 1322475618 1763300824 1885509792 1983713427 2644951236 3526601648 3967426854 5289902472 5951140281 7053203296 7934853708 10579804944 11902280562 15869707416 21159609888 23804561124 31739414832 47609122248 63478829664 95218244496 190436488992