Search a number
-
+
4525959197088 = 25327235973131173
BaseRepresentation
bin100000111011100100000…
…1100001011000110100000
3121000200021212201021000200
41001313020030023012200
51043123131023301323
613343110312545200
7644663326264020
oct101671014130640
917020255637020
104525959197088
1114954a2a8005a
126111b26b2200
1326aa47101a54
141190b4075a80
157cae5ad2443
hex41dc830b1a0

4525959197088 has 1152 divisors, whose sum is σ = 16035823964160. Its totient is φ = 1183252561920.

The previous prime is 4525959197063. The next prime is 4525959197101. The reversal of 4525959197088 is 8807919595254.

4525959197088 is a `hidden beast` number, since 4 + 5 + 25 + 9 + 591 + 9 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 26161613770 + ... + 26161613942.

It is an arithmetic number, because the mean of its divisors is an integer number (13919986080).

Almost surely, 24525959197088 is an apocalyptic number.

4525959197088 is a gapful number since it is divisible by the number (48) 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 4525959197088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017911982080).

4525959197088 is an abundant number, since it is smaller than the sum of its proper divisors (11509864767072).

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

4525959197088 is a wasteful number, since it uses less digits than its factorization.

4525959197088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 4525959197088 in words is "four trillion, five hundred twenty-five billion, nine hundred fifty-nine million, one hundred ninety-seven thousand, eighty-eight".