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245321240004 = 223776936467
BaseRepresentation
bin1110010001111001001…
…0010000110111000100
3212110012212012020000000
43210132102100313010
513004404214140004
6304410553321300
723503201064031
oct3443622206704
9773185166000
10245321240004
1195049498655
123b665706230
131a197956a59
14bc33292388
1565ac1b9c39
hex391e490dc4

245321240004 has 96 divisors (see below), whose sum is σ = 644725065600. Its totient is φ = 81665169408.

The previous prime is 245321239993. The next prime is 245321240011. The reversal of 245321240004 is 400042123542.

245321240004 is a `hidden beast` number, since 2 + 4 + 532 + 124 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 245321240004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6708979 + ... + 6745445.

It is an arithmetic number, because the mean of its divisors is an integer number (6715886100).

Almost surely, 2245321240004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245321240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322362532800).

245321240004 is an abundant number, since it is smaller than the sum of its proper divisors (399403825596).

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

245321240004 is an equidigital number, since it uses as much as digits as its factorization.

245321240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37261 (or 37241 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245321240004 its reverse (400042123542), we get a palindrome (645363363546).

The spelling of 245321240004 in words is "two hundred forty-five billion, three hundred twenty-one million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 769 972 1458 1538 2187 2307 2916 3076 4374 4614 6921 8748 9228 13842 20763 27684 36467 41526 62289 72934 83052 109401 124578 145868 186867 218802 249156 328203 373734 437604 560601 656406 747468 984609 1121202 1312812 1681803 1969218 2242404 2953827 3363606 3938436 5907654 6727212 8861481 11815308 17722962 26584443 28043123 35445924 53168886 56086246 79753329 84129369 106337772 112172492 159506658 168258738 252388107 319013316 336517476 504776214 757164321 1009552428 1514328642 2271492963 3028657284 4542985926 6814478889 9085971852 13628957778 20443436667 27257915556 40886873334 61330310001 81773746668 122660620002 245321240004