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661282200392 = 231125924432
BaseRepresentation
bin10011001111101110111…
…11011001101101001000
32100012212220010101111212
421213313133121231020
541313301220403032
61223442220312252
765530121650202
oct11476737315510
92305786111455
10661282200392
112354a2620800
12a81b20a2688
134a487c2c948
1424013143772
1512304e46bb2
hex99f77d9b48

661282200392 has 108 divisors (see below), whose sum is σ = 1389497376435. Its totient is φ = 294821178080.

The previous prime is 661282200379. The next prime is 661282200427. The reversal of 661282200392 is 293002282166.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 330641100196 + 330641100196 = 575014^2 + 575014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=575014.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1492736123 + ... + 1492736565.

Almost surely, 2661282200392 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 661282200392

661282200392 is an abundant number, since it is smaller than the sum of its proper divisors (728215176043).

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

661282200392 is an equidigital number, since it uses as much as digits as its factorization.

661282200392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 661282200392 in words is "six hundred sixty-one billion, two hundred eighty-two million, two hundred thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 443 472 484 649 886 968 1298 1772 2596 3481 3544 4873 5192 6962 7139 9746 13924 14278 19492 26137 27848 28556 38291 38984 52274 53603 57112 76582 104548 107206 153164 196249 209096 214412 287507 306328 392498 421201 428824 575014 784996 842402 1150028 1542083 1569992 1684804 2158739 2300056 3084166 3162577 3369608 4317478 6168332 6325154 8634956 11578691 12336664 12650308 16962913 17269912 23157382 23746129 25300616 33925826 46314764 47492258 67851652 92629528 94984516 127365601 135703304 186592043 189969032 254731202 373184086 509462404 683142769 746368172 1018924808 1366285538 1401021611 1492736344 2732571076 2802043222 5465142152 5604086444 7514570459 11208172888 15029140918 30058281836 60116563672 82660275049 165320550098 330641100196 661282200392