Search a number
-
+
61228303968 = 2531361804281
BaseRepresentation
bin111001000001011111…
…011100011001100000
312212001002212010000210
4321001133130121200
52000343421211333
644043343014120
74265202665556
oct710137343140
9185032763023
1061228303968
1123a6a866007
12ba4929a340
135a0a081680
142d6ba6dbd6
1518d54cea63
hexe417dc660

61228303968 has 96 divisors (see below), whose sum is σ = 175925427552. Its totient is φ = 18530611200.

The previous prime is 61228303951. The next prime is 61228303991. The reversal of 61228303968 is 86930382216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 326013 + ... + 478268.

It is an arithmetic number, because the mean of its divisors is an integer number (1832556537).

Almost surely, 261228303968 is an apocalyptic number.

It is an amenable number.

61228303968 is an abundant number, since it is smaller than the sum of its proper divisors (114697123584).

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

61228303968 is a wasteful number, since it uses less digits than its factorization.

61228303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804368 (or 804360 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 61228303968 in words is "sixty-one billion, two hundred twenty-eight million, three hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1248 1464 1586 1952 2379 2928 3172 4758 5856 6344 9516 12688 19032 25376 38064 76128 804281 1608562 2412843 3217124 4825686 6434248 9651372 10455653 12868496 19302744 20911306 25736992 31366959 38605488 41822612 49061141 62733918 77210976 83645224 98122282 125467836 147183423 167290448 196244564 250935672 294366846 334580896 392489128 501871344 588733692 637794833 784978256 1003742688 1177467384 1275589666 1569956512 1913384499 2354934768 2551179332 3826768998 4709869536 5102358664 7653537996 10204717328 15307075992 20409434656 30614151984 61228303968