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2148539670 = 2325472101107
BaseRepresentation
bin1000000000010000…
…0001110100010110
312112201212010100100
42000010001310112
513400011232140
6553110354530
7104146200024
oct20004016426
95481763310
102148539670
11a02881722
124bb65ba46
13283184664
141654c3714
15c8954530
hex80101d16

2148539670 has 144 divisors (see below), whose sum is σ = 5817968208. Its totient is φ = 550012800.

The previous prime is 2148539647. The next prime is 2148539689. The reversal of 2148539670 is 769358412.

2148539670 is a `hidden beast` number, since 2 + 1 + 48 + 539 + 6 + 70 = 666.

2148539670 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

2148539670 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20079757 + ... + 20079863.

It is an arithmetic number, because the mean of its divisors is an integer number (40402557).

It is a 1-persistent number, because it is pandigital, but 2⋅2148539670 = 4297079340 is not.

Almost surely, 22148539670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148539670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908984104).

2148539670 is an abundant number, since it is smaller than the sum of its proper divisors (3669428538).

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

2148539670 is a wasteful number, since it uses less digits than its factorization.

2148539670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148539670 is about 46352.3426592443. The cubic root of 2148539670 is about 1290.3705984077.

The spelling of 2148539670 in words is "two billion, one hundred forty-eight million, five hundred thirty-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 101 107 141 202 214 235 282 303 321 423 470 505 535 606 642 705 846 909 963 1010 1070 1410 1515 1605 1818 1926 2115 2209 3030 3210 4230 4418 4545 4747 4815 5029 6627 9090 9494 9630 10058 10807 11045 13254 14241 15087 19881 21614 22090 23735 25145 28482 30174 32421 33135 39762 42723 45261 47470 50290 54035 64842 66270 71205 75435 85446 90522 97263 99405 108070 142410 150870 162105 194526 198810 213615 223109 226305 236363 324210 427230 446218 452610 472726 486315 507929 669327 709089 972630 1015858 1115545 1181815 1338654 1418178 1523787 2007981 2127267 2231090 2363630 2539645 3047574 3346635 3545445 4015962 4254534 4571361 5079290 6693270 7090890 7618935 9142722 10039905 10636335 15237870 20079810 21272670 22856805 23872663 45713610 47745326 71617989 119363315 143235978 214853967 238726630 358089945 429707934 716179890 1074269835 2148539670