Search a number
-
+
139572800064 = 2632547442987
BaseRepresentation
bin1000000111111100101…
…1111110101001000000
3111100021001211212121100
42001333023332221000
54241321114100224
6144041401254400
713040513140305
oct2017713765100
9440231755540
10139572800064
1154213230545
1223072794400
1310214219079
146a809c70ac
15396d488ac9
hex207f2fea40

139572800064 has 84 divisors (see below), whose sum is σ = 400792507024. Its totient is φ = 46439108352.

The previous prime is 139572800047. The next prime is 139572800089. The reversal of 139572800064 is 460008275931.

139572800064 is a `hidden beast` number, since 13 + 9 + 572 + 8 + 0 + 0 + 0 + 64 = 666.

139572800064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 139572799992 and 139572800019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93579 + ... + 536565.

It is a 1-persistent number, because it is pandigital, but 2⋅139572800064 = 279145600128 is not.

Almost surely, 2139572800064 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 139572800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200396253512).

139572800064 is an abundant number, since it is smaller than the sum of its proper divisors (261219706960).

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

139572800064 is a wasteful number, since it uses less digits than its factorization.

139572800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443552 (or 443539 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 139572800064 in words is "one hundred thirty-nine billion, five hundred seventy-two million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 547 576 1094 1641 2188 3282 4376 4923 6564 8752 9846 13128 17504 19692 26256 35008 39384 52512 78768 105024 157536 315072 442987 885974 1328961 1771948 2657922 3543896 3986883 5315844 7087792 7973766 10631688 14175584 15947532 21263376 28351168 31895064 42526752 63790128 85053504 127580256 242313889 255160512 484627778 726941667 969255556 1453883334 1938511112 2180825001 2907766668 3877022224 4361650002 5815533336 7754044448 8723300004 11631066672 15508088896 17446600008 23262133344 34893200016 46524266688 69786400032 139572800064