Search a number
-
+
2045539516032 = 27341910383871
BaseRepresentation
bin11101110001000011101…
…001111111111010000000
321020112220011110221220000
4131301003221333322000
5232003231104003112
64203412522520000
7300533243001255
oct35610351777200
97215804427800
102045539516032
11719565803251
12290533066000
1311ab80184a6c
147100ca3d42c
1538320e8c7dc
hex1dc43a7fe80

2045539516032 has 160 divisors (see below), whose sum is σ = 6407887411200. Its totient is φ = 645959784960.

The previous prime is 2045539516019. The next prime is 2045539516057. The reversal of 2045539516032 is 2306159355402.

2045539516032 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 39 + 5 + 1 + 603 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4994944 + ... + 5388927.

It is an arithmetic number, because the mean of its divisors is an integer number (40049296320).

Almost surely, 22045539516032 is an apocalyptic number.

It is an amenable number.

2045539516032 is an abundant number, since it is smaller than the sum of its proper divisors (4362347895168).

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

2045539516032 is a wasteful number, since it uses less digits than its factorization.

2045539516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10383916 (or 10383895 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 2045539516032 in words is "two trillion, forty-five billion, five hundred thirty-nine million, five hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 384 432 456 513 576 608 648 684 864 912 1026 1152 1216 1296 1368 1539 1728 1824 2052 2432 2592 2736 3078 3456 3648 4104 5184 5472 6156 7296 8208 10368 10944 12312 16416 21888 24624 32832 49248 65664 98496 196992 10383871 20767742 31151613 41535484 62303226 83070968 93454839 124606452 166141936 186909678 197293549 249212904 280364517 332283872 373819356 394587098 498425808 560729034 591880647 664567744 747638712 789174196 841093551 996851616 1121458068 1183761294 1329135488 1495277424 1578348392 1682187102 1775641941 1993703232 2242916136 2367522588 2990554848 3156696784 3364374204 3551283882 3987406464 4485832272 4735045176 5326925823 5981109696 6313393568 6728748408 7102567764 8971664544 9470090352 10653851646 11962219392 12626787136 13457496816 14205135528 15980777469 17943329088 18940180704 21307703292 25253574272 26914993632 28410271056 31961554938 35886658176 37880361408 42615406584 53829987264 56820542112 63923109876 75760722816 85230813168 107659974528 113641084224 127846219752 170461626336 227282168448 255692439504 340923252672 511384879008 681846505344 1022769758016 2045539516032