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210195419904 = 28353378913
BaseRepresentation
bin1100001111000010011…
…1111001001100000000
3202002112212202200100000
43003300213321030000
511420440011414104
6240321253200000
721120560406201
oct3036047711400
9662485680300
10210195419904
1181163920068
12348a2030000
1316a8a64c012
14a2601935a8
155703584639
hex30f09f9300

210195419904 has 108 divisors (see below), whose sum is σ = 628491519656. Its totient is φ = 70065119232.

The previous prime is 210195419881. The next prime is 210195419947. The reversal of 210195419904 is 409914591012.

210195419904 is a `hidden beast` number, since 2 + 1 + 0 + 19 + 541 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×2101954199042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210195419904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627249 + ... + 1751664.

Almost surely, 2210195419904 is an apocalyptic number.

210195419904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210195419904 is an abundant number, since it is smaller than the sum of its proper divisors (418296099752).

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

210195419904 is an frugal number, since it uses more digits than its factorization.

210195419904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378944 (or 3378918 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 210195419904 in words is "two hundred ten billion, one hundred ninety-five million, four hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 3378913 6757826 10136739 13515652 20273478 27031304 30410217 40546956 54062608 60820434 81093912 91230651 108125216 121640868 162187824 182461302 216250432 243281736 273691953 324375648 364922604 432500864 486563472 547383906 648751296 729845208 821075859 865001728 973126944 1094767812 1297502592 1459690416 1642151718 1946253888 2189535624 2595005184 2919380832 3284303436 3892507776 4379071248 5838761664 6568606872 7785015552 8758142496 11677523328 13137213744 17516284992 23355046656 26274427488 35032569984 52548854976 70065139968 105097709952 210195419904