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2149071145605 = 335414326773373
BaseRepresentation
bin11111010001011110100…
…111110100101010000101
321121110010110111200011000
4133101132213310222011
5240202244203124410
64323134125003513
7311156662223016
oct37213647645205
97543113450130
102149071145605
117594636a997a
122a86076b3599
1312786c556737
1476030b3300d
153ad80280dc0
hex1f45e9f4a85

2149071145605 has 128 divisors (see below), whose sum is σ = 4007456893440. Its totient is φ = 1091479173120.

The previous prime is 2149071145583. The next prime is 2149071145621. The reversal of 2149071145605 is 5065411709412.

2149071145605 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 0 + 71 + 14 + 560 + 5 = 666.

It is not a de Polignac number, because 2149071145605 - 27 = 2149071145477 is a prime.

It is a super-2 number, since 2×21490711456052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 637137699 + ... + 637141071.

It is an arithmetic number, because the mean of its divisors is an integer number (31308256980).

Almost surely, 22149071145605 is an apocalyptic number.

It is an amenable number.

2149071145605 is a deficient number, since it is larger than the sum of its proper divisors (1858385747835).

2149071145605 is a wasteful number, since it uses less digits than its factorization.

2149071145605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2149071145605 in words is "two trillion, one hundred forty-nine billion, seventy-one million, one hundred forty-five thousand, six hundred five".

Divisors: 1 3 5 9 15 27 41 43 45 123 129 135 205 215 369 387 615 645 1107 1161 1763 1845 1935 2677 3373 5289 5535 5805 8031 8815 10119 13385 15867 16865 24093 26445 30357 40155 47601 50595 72279 79335 91071 109757 115111 120465 138293 145039 151785 238005 329271 345333 361395 414879 435117 455355 548785 575555 691465 725195 987813 1035999 1244637 1305351 1646355 1726665 2074395 2175585 2963439 3107997 3733911 3916053 4719551 4939065 5179995 5946599 6223185 6526755 9029521 14158653 14817195 15539985 17839797 18669555 19580265 23597755 27088563 29732995 42475959 45147605 53519391 70793265 81265689 89198985 127427877 135442815 160558173 212379795 243797067 267596955 370210361 388269403 406328445 637139385 802790865 1110631083 1164808209 1218985335 1851051805 1941347015 3331893249 3494424627 5553155415 5824041045 9995679747 10483273881 15919045523 16659466245 17472123135 47757136569 49978398735 52416369405 79595227615 143271409707 238785682845 429814229121 716357048535 2149071145605