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72251330008 = 231113186133937
BaseRepresentation
bin100001101001010000…
…0111100110111011000
320220111022121212001111
41003102200330313120
52140432320030013
653105232430104
75135312112664
oct1032240746730
9226438555044
1072251330008
1128706aa0690
12120049a8334
136a759ab8a0
1436d5a158a4
151d2d0bb73d
hex10d283cdd8

72251330008 has 64 divisors (see below), whose sum is σ = 159245241120. Its totient is φ = 30298060800.

The previous prime is 72251329993. The next prime is 72251330009. The reversal of 72251330008 is 80003315227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72251330009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2112016 + ... + 2145952.

Almost surely, 272251330008 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 72251330008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79622620560).

72251330008 is an abundant number, since it is smaller than the sum of its proper divisors (86993911112).

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

72251330008 is a wasteful number, since it uses less digits than its factorization.

72251330008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35828 (or 35824 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 72251330008 in words is "seventy-two billion, two hundred fifty-one million, three hundred thirty thousand, eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1861 3722 7444 14888 20471 24193 33937 40942 48386 67874 81884 96772 135748 163768 193544 266123 271496 373307 441181 532246 746614 882362 1064492 1493228 1764724 2128984 2986456 3529448 4852991 9705982 19411964 38823928 63156757 126313514 252627028 505254056 694724327 821037841 1389448654 1642075682 2778897308 3284151364 5557794616 6568302728 9031416251 18062832502 36125665004 72251330008