Search a number
-
+
71203773536 = 2576113139779
BaseRepresentation
bin100001001010000010…
…0110101110001100000
320210210022110110201122
41002110010311301200
52131311131223121
652413251551412
75100332042330
oct1022404656140
9223708413648
1071203773536
1128219745a35
1211971bbb568
13693996059c
1436368490c0
151cbb1445ab
hex1094135c60

71203773536 has 96 divisors (see below), whose sum is σ = 164081998080. Its totient is φ = 29785766400.

The previous prime is 71203773503. The next prime is 71203773587. The reversal of 71203773536 is 63537730217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770095 + ... + 1809873.

It is an arithmetic number, because the mean of its divisors is an integer number (1709187480).

Almost surely, 271203773536 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 71203773536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82040999040).

71203773536 is an abundant number, since it is smaller than the sum of its proper divisors (92878224544).

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

71203773536 is a wasteful number, since it uses less digits than its factorization.

71203773536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39988 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 44.

The spelling of 71203773536 in words is "seventy-one billion, two hundred three million, seven hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 131 224 244 262 427 488 524 854 917 976 1048 1708 1834 1952 2096 3416 3668 4192 6832 7336 7991 13664 14672 15982 29344 31964 39779 55937 63928 79558 111874 127856 159116 223748 255712 278453 318232 447496 556906 636464 894992 1113812 1272928 1789984 2227624 2426519 4455248 4853038 5211049 8910496 9706076 10422098 16985633 19412152 20844196 33971266 36477343 38824304 41688392 67942532 72954686 77648608 83376784 135885064 145909372 166753568 271770128 291818744 317873989 543540256 583637488 635747978 1167274976 1271495956 2225117923 2542991912 4450235846 5085983824 8900471692 10171967648 17800943384 35601886768 71203773536