Search a number
-
+
71534785104 = 24322333764091
BaseRepresentation
bin100001010011111001…
…1100011001001010000
320211122101022121020100
41002213303203021100
52133000401110404
652510154412400
75111461432536
oct1024763431120
9224571277210
1071534785104
1128379580912
1211a44a31100
1369903c8913
1436687b2156
151cda22bd39
hex10a7ce3250

71534785104 has 120 divisors (see below), whose sum is σ = 209525464512. Its totient is φ = 22740157440.

The previous prime is 71534785097. The next prime is 71534785151. The reversal of 71534785104 is 40158743517.

71534785104 is a `hidden beast` number, since 7 + 1 + 534 + 7 + 8 + 5 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71534785104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084099 + ... + 1148189.

Almost surely, 271534785104 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 71534785104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762732256).

71534785104 is an abundant number, since it is smaller than the sum of its proper divisors (137990679408).

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

71534785104 is a wasteful number, since it uses less digits than its factorization.

71534785104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64465 (or 64456 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 71534785104 in words is "seventy-one billion, five hundred thirty-four million, seven hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 337 368 414 552 674 828 1011 1104 1348 1656 2022 2696 3033 3312 4044 5392 6066 7751 8088 12132 15502 16176 23253 24264 31004 46506 48528 62008 64091 69759 93012 124016 128182 139518 186024 192273 256364 279036 372048 384546 512728 558072 576819 769092 1025456 1116144 1153638 1474093 1538184 2307276 2948186 3076368 4422279 4614552 5896372 8844558 9229104 11792744 13266837 17689116 21598667 23585488 26533674 35378232 43197334 53067348 64796001 70756464 86394668 106134696 129592002 172789336 194388003 212269392 259184004 345578672 388776006 496769341 518368008 777552012 993538682 1036736016 1490308023 1555104024 1987077364 2980616046 3110208048 3974154728 4470924069 5961232092 7948309456 8941848138 11922464184 17883696276 23844928368 35767392552 71534785104