Search a number
-
+
146365803936 = 25321146201327
BaseRepresentation
bin1000100001010000010…
…1001110110110100000
3111222210111002020002100
42020110011032312200
54344224121211221
6151123423050400
713401036543312
oct2102405166640
9458714066070
10146365803936
1157089753930
1224449740a00
1310a576884a1
147126c5d7b2
153c19a15926
hex221414eda0

146365803936 has 72 divisors (see below), whose sum is σ = 454066651584. Its totient is φ = 44353272960.

The previous prime is 146365803931. The next prime is 146365803989. The reversal of 146365803936 is 639308563641.

146365803936 is a `hidden beast` number, since 146 + 36 + 5 + 80 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (146365803931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23097496 + ... + 23103831.

It is an arithmetic number, because the mean of its divisors is an integer number (6306481272).

Almost surely, 2146365803936 is an apocalyptic number.

146365803936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146365803936 is an abundant number, since it is smaller than the sum of its proper divisors (307700847648).

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

146365803936 is a wasteful number, since it uses less digits than its factorization.

146365803936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46201354 (or 46201343 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 146365803936 in words is "one hundred forty-six billion, three hundred sixty-five million, eight hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 46201327 92402654 138603981 184805308 277207962 369610616 415811943 508214597 554415924 739221232 831623886 1016429194 1108831848 1478442464 1524643791 1663247772 2032858388 2217663696 3049287582 3326495544 4065716776 4435327392 4573931373 6098575164 6652991088 8131433552 9147862746 12197150328 13305982176 16262867104 18295725492 24394300656 36591450984 48788601312 73182901968 146365803936