Search a number
-
+
88245825405 = 35411312394583
BaseRepresentation
bin101001000101111011…
…1000110111101111101
322102210000002101221220
41102023313012331331
52421211412403110
6104312314143553
76242546065623
oct1221367067575
9272700071856
1088245825405
1134474516821
1215129421bb9
13842458844a
1443b1d53513
152467376370
hex148bdc6f7d

88245825405 has 64 divisors (see below), whose sum is σ = 146382888960. Its totient is φ = 45365465600.

The previous prime is 88245825377. The next prime is 88245825407. The reversal of 88245825405 is 50452854288.

It is not a de Polignac number, because 88245825405 - 25 = 88245825373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88245825407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19252744 + ... + 19257326.

It is an arithmetic number, because the mean of its divisors is an integer number (2287232640).

Almost surely, 288245825405 is an apocalyptic number.

It is an amenable number.

88245825405 is a deficient number, since it is larger than the sum of its proper divisors (58137063555).

88245825405 is a wasteful number, since it uses less digits than its factorization.

88245825405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002.

The product of its (nonzero) digits is 4096000, while the sum is 51.

The spelling of 88245825405 in words is "eighty-eight billion, two hundred forty-five million, eight hundred twenty-five thousand, four hundred five".

Divisors: 1 3 5 15 41 123 131 205 239 393 615 655 717 1195 1965 3585 4583 5371 9799 13749 16113 22915 26855 29397 31309 48995 68745 80565 93927 146985 156545 187903 469635 563709 600373 939515 1095337 1283669 1801119 2818545 3001865 3286011 3851007 5476685 6418345 9005595 16430055 19255035 24615293 44908817 73845879 123076465 134726451 143489147 224544085 369229395 430467441 673632255 717445735 2152337205 5883055027 17649165081 29415275135 88245825405