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45030005776 = 24719612631319
BaseRepresentation
bin101001111011111111…
…110101110000010000
311022020012220022020201
4221323333311300100
51214210140141101
632404141144544
73152612506450
oct517377656020
9138205808221
1045030005776
111810829a908
12888855b154
1343281b8942
14227263dd60
1512883b8e01
hexa7bff5c10

45030005776 has 160 divisors (see below), whose sum is σ = 107164569600. Its totient is φ = 17901181440.

The previous prime is 45030005753. The next prime is 45030005819. The reversal of 45030005776 is 67750003054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34138845 + ... + 34140163.

It is an arithmetic number, because the mean of its divisors is an integer number (669778560).

Almost surely, 245030005776 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 45030005776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53582284800).

45030005776 is an abundant number, since it is smaller than the sum of its proper divisors (62134563824).

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

45030005776 is a wasteful number, since it uses less digits than its factorization.

45030005776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The spelling of 45030005776 in words is "forty-five billion, thirty million, five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 263 266 304 427 488 526 532 854 976 1052 1064 1159 1319 1708 1841 2104 2128 2318 2638 3416 3682 4208 4636 4997 5276 6832 7364 8113 9233 9272 9994 10552 14728 16043 16226 18466 18544 19988 21104 25061 29456 32086 32452 34979 36932 39976 50122 64172 64904 69958 73864 79952 80459 100244 112301 128344 129808 139916 147728 160918 175427 200488 224602 256688 279832 304817 321836 346897 350854 400976 449204 559664 563213 609634 643672 693794 701708 898408 1126426 1219268 1287344 1387588 1403416 1528721 1796816 2133719 2252852 2428279 2438536 2775176 2806832 3057442 4267438 4505704 4856558 4877072 5550352 6114884 6591043 8534876 9011408 9713116 10701047 12229768 13182086 17069752 19426232 21160717 21402094 24459536 26364172 34139504 38852464 42321434 42804188 46137301 52728344 84642868 85608376 92274602 105456688 148125019 169285736 171216752 184549204 296250038 338571472 369098408 402053623 592500076 738196816 804107246 1185000152 1608214492 2370000304 2814375361 3216428984 5628750722 6432857968 11257501444 22515002888 45030005776