Search a number
-
+
2693063632896 = 21132741331151
BaseRepresentation
bin100111001100000111000…
…110011110100000000000
3100112110021020100021211200
4213030013012132200000
5323110343242223041
65421102031541200
7365365425120000
oct47140706364000
910473236307750
102693063632896
1194913823818a
12375b2568a800
13166c54947a80
14944b8880000
154a0bd13a1b6
hex2730719e800

2693063632896 has 1440 divisors, whose sum is σ = 10153878658560. Its totient is φ = 682795008000.

The previous prime is 2693063632871. The next prime is 2693063632921. The reversal of 2693063632896 is 6982363603962.

2693063632896 is a `hidden beast` number, since 269 + 3 + 0 + 6 + 363 + 2 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2693063632871) and next prime (2693063632921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17834858421 + ... + 17834858571.

It is an arithmetic number, because the mean of its divisors is an integer number (7051304624).

Almost surely, 22693063632896 is an apocalyptic number.

2693063632896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693063632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076939329280).

2693063632896 is an abundant number, since it is smaller than the sum of its proper divisors (7460815025664).

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

2693063632896 is a wasteful number, since it uses less digits than its factorization.

2693063632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 2693063632896 in words is "two trillion, six hundred ninety-three billion, sixty-three million, six hundred thirty-two thousand, eight hundred ninety-six".