Search a number
-
+
139582937664 = 263451892
BaseRepresentation
bin1000000111111111001…
…0101001101001000000
3111100021202220220210000
42001333302221221000
54241331213001124
6144042402440000
713040665252062
oct2017762515100
9440252826700
10139582937664
1154218a25025
1223076063000
1310216358451
146a820a5732
15396e2dc6c9
hex207fca9a40

139582937664 has 105 divisors (see below), whose sum is σ = 413847309337. Its totient is φ = 46518679296.

The previous prime is 139582937653. The next prime is 139582937693. The reversal of 139582937664 is 466739285931.

The square root of 139582937664 is 373608.

It is a perfect power (a square), and thus also a powerful number.

139582937664 is a `hidden beast` number, since 13 + 9 + 582 + 9 + 37 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110218688064 + 29364249600 = 331992^2 + 171360^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 26897182 + ... + 26902370.

Almost surely, 2139582937664 is an apocalyptic number.

139582937664 is the 373608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139582937664

139582937664 is an abundant number, since it is smaller than the sum of its proper divisors (274264371673).

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

139582937664 is an frugal number, since it uses more digits than its factorization.

139582937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 5194 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 139582937664 in words is "one hundred thirty-nine billion, five hundred eighty-two million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5189 10378 15567 20756 31134 41512 46701 62268 83024 93402 124536 140103 166048 186804 249072 280206 332096 373608 420309 498144 560412 747216 840618 996288 1120824 1494432 1681236 2241648 2988864 3362472 4483296 6724944 8966592 13449888 26899776 26925721 53851442 80777163 107702884 161554326 215405768 242331489 323108652 430811536 484662978 646217304 726994467 861623072 969325956 1292434608 1453988934 1723246144 1938651912 2180983401 2584869216 2907977868 3877303824 4361966802 5169738432 5815955736 7754607648 8723933604 11631911472 15509215296 17447867208 23263822944 34895734416 46527645888 69791468832 139582937664