Search a number
-
+
2128948000245 = 345113531353763
BaseRepresentation
bin11110111110101111001…
…100000111010111110101
321112112012001020222020000
4132332233030013113311
5234340041142001440
64310005240101513
7306545213264523
oct36765714072765
97475161228200
102128948000245
1175097770aa30
122a4730464899
131259b34c3331
1475082353313
153a5a37dc730
hex1efaf3075f5

2128948000245 has 80 divisors (see below), whose sum is σ = 4175073156672. Its totient is φ = 1029292323840.

The previous prime is 2128948000163. The next prime is 2128948000297. The reversal of 2128948000245 is 5420008498212.

2128948000245 is a `hidden beast` number, since 2 + 128 + 9 + 480 + 0 + 0 + 2 + 45 = 666.

It is not a de Polignac number, because 2128948000245 - 210 = 2128947999221 is a prime.

It is a super-3 number, since 3×21289480002453 (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2128948000245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 895734 + ... + 2249496.

Almost surely, 22128948000245 is an apocalyptic number.

It is an amenable number.

2128948000245 is a deficient number, since it is larger than the sum of its proper divisors (2046125156427).

2128948000245 is a wasteful number, since it uses less digits than its factorization.

2128948000245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354144 (or 1354135 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2128948000245 in words is "two trillion, one hundred twenty-eight billion, nine hundred forty-eight million, two hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 353 405 495 891 1059 1485 1765 3177 3883 4455 5295 9531 11649 15885 19415 28593 34947 47655 58245 104841 142965 174735 314523 524205 1353763 1572615 4061289 6768815 12183867 14891393 20306445 36551601 44674179 60919335 74456965 109654803 134022537 182758005 223370895 402067611 477878339 548274015 670112685 1206202833 1433635017 2010338055 2389391695 4300905051 5256661729 6031014165 7168175085 12902715153 15769985187 21504525255 26283308645 38708145459 47309955561 64513575765 78849925935 141929866683 193540727295 236549777805 425789600049 709649333415 2128948000245