Search a number
-
+
25051940934048 = 253573743443653
BaseRepresentation
bin1011011001000110111000…
…00010100101000110100000
310021200221102211121110200000
411230203130002211012200
511240422333334342143
6125140411445100000
75163641310314460
oct554433402450640
9107627384543600
1025051940934048
117a89517611076
1229872983b7600
1310c95072812b2
14628740015ba0
152d69d2543bd3
hex16c8dc0a51a0

25051940934048 has 1152 divisors, whose sum is σ = 89069478930432. Its totient is φ = 6776538402816.

The previous prime is 25051940933983. The next prime is 25051940934073. The reversal of 25051940934048 is 84043904915052.

It is a happy number.

25051940934048 is a `hidden beast` number, since 2 + 5 + 0 + 519 + 40 + 9 + 3 + 40 + 48 = 666.

It is a super-3 number, since 3×250519409340483 (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25051940933985 and 25051940934003.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38364380890 + ... + 38364381542.

It is an arithmetic number, because the mean of its divisors is an integer number (77317256016).

Almost surely, 225051940934048 is an apocalyptic number.

25051940934048 is a gapful number since it is divisible by the number (28) 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 25051940934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44534739465216).

25051940934048 is an abundant number, since it is smaller than the sum of its proper divisors (64017537996384).

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

25051940934048 is a wasteful number, since it uses less digits than its factorization.

25051940934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 25051940934048 in words is "twenty-five trillion, fifty-one billion, nine hundred forty million, nine hundred thirty-four thousand, forty-eight".