Search a number
-
+
76435190568 = 23341121150821
BaseRepresentation
bin100011100101111100…
…1000111001100101000
321022021220021222210000
41013023321013030220
52223014402044233
655040331223000
75344064254122
oct1071371071450
9238256258700
1076435190568
112a463743a90
1212991ba7a60
137291726419
1439b154a212
151ec555dd13
hex11cbe47328

76435190568 has 160 divisors (see below), whose sum is σ = 234663469920. Its totient is φ = 23051952000.

The previous prime is 76435190567. The next prime is 76435190593. The reversal of 76435190568 is 86509153467.

76435190568 is a `hidden beast` number, since 7 + 64 + 3 + 5 + 19 + 0 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76435190561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1478598 + ... + 1529418.

It is an arithmetic number, because the mean of its divisors is an integer number (1466646687).

Almost surely, 276435190568 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 76435190568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331734960).

76435190568 is an abundant number, since it is smaller than the sum of its proper divisors (158228279352).

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

76435190568 is a wasteful number, since it uses less digits than its factorization.

76435190568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51061 (or 51048 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 76435190568 in words is "seventy-six billion, four hundred thirty-five million, one hundred ninety thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 211 216 264 297 324 396 422 594 633 648 792 844 891 1188 1266 1688 1782 1899 2321 2376 2532 3564 3798 4642 5064 5697 6963 7128 7596 9284 11394 13926 15192 17091 18568 20889 22788 27852 34182 41778 45576 50821 55704 62667 68364 83556 101642 125334 136728 152463 167112 188001 203284 250668 304926 376002 406568 457389 501336 559031 609852 752004 914778 1118062 1219704 1372167 1504008 1677093 1829556 2236124 2744334 3354186 3659112 4116501 4472248 5031279 5488668 6708372 8233002 10062558 10723231 10977336 13416744 15093837 16466004 20125116 21446462 30187674 32169693 32932008 40250232 42892924 45281511 60375348 64339386 85785848 90563022 96509079 117955541 120750696 128678772 181126044 193018158 235911082 257357544 289527237 353866623 362252088 386036316 471822164 579054474 707733246 772072632 868581711 943644328 1061599869 1158108948 1415466492 1737163422 2123199738 2316217896 2830932984 3184799607 3474326844 4246399476 6369599214 6948653688 8492798952 9554398821 12739198428 19108797642 25478396856 38217595284 76435190568