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20432215216 = 2472241108139
BaseRepresentation
bin10011000001110110…
…101101110010110000
31221201221211002001201
4103001312231302300
5313321121341331
613215245140544
71322220651400
oct230166556260
957657732051
1020432215216
1187354a8786
123b6285a754
131c080b859a
14dbb874800
157e8b94a61
hex4c1dadcb0

20432215216 has 60 divisors (see below), whose sum is σ = 46242177960. Its totient is φ = 8720248320.

The previous prime is 20432215183. The next prime is 20432215241. The reversal of 20432215216 is 61251223402.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 134875 + ... + 243013.

It is an arithmetic number, because the mean of its divisors is an integer number (770702966).

Almost surely, 220432215216 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 20432215216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121088980).

20432215216 is an abundant number, since it is smaller than the sum of its proper divisors (25809962744).

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

20432215216 is a wasteful number, since it uses less digits than its factorization.

20432215216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108402 (or 108389 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 20432215216 its reverse (61251223402), we get a palindrome (81683438618).

The spelling of 20432215216 in words is "twenty billion, four hundred thirty-two million, two hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 241 392 482 784 964 1687 1928 3374 3856 6748 11809 13496 23618 26992 47236 94472 108139 188944 216278 432556 756973 865112 1513946 1730224 3027892 5298811 6055784 10597622 12111568 21195244 26061499 42390488 52122998 84780976 104245996 182430493 208491992 364860986 416983984 729721972 1277013451 1459443944 2554026902 2918887888 5108053804 10216107608 20432215216