Search a number
-
+
128066942920 = 23572292253113
BaseRepresentation
bin111011101000101100…
…0100111011111001000
3110020120012112202211011
41313101120213133020
54044240114133140
6134455543013304
712152422024300
oct1672130473710
9406505482734
10128066942920
114a3494a57a4
12209a143a234
13c0cc568687
1462ac878600
1534e82c5cea
hex1dd16277c8

128066942920 has 96 divisors (see below), whose sum is σ = 346754244600. Its totient is φ = 42394555392.

The previous prime is 128066942869. The next prime is 128066942933. The reversal of 128066942920 is 29249660821.

It can be written as a sum of positive squares in 4 ways, for example, as 122294286436 + 5772656484 = 349706^2 + 75978^2 .

It is a super-2 number, since 2×1280669429202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069717 + ... + 1183396.

Almost surely, 2128066942920 is an apocalyptic number.

128066942920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128066942920 is an abundant number, since it is smaller than the sum of its proper divisors (218687301680).

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

128066942920 is a wasteful number, since it uses less digits than its factorization.

128066942920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253167 (or 2253156 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 128066942920 in words is "one hundred twenty-eight billion, sixty-six million, nine hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 2253113 4506226 9012452 11265565 15771791 18024904 22531130 31543582 45062260 63087164 65340277 78858955 90124520 110402537 126174328 130680554 157717910 220805074 261361108 315435820 326701385 441610148 457381939 522722216 552012685 630871640 653402770 883220296 914763878 1104025370 1306805540 1829527756 2208050740 2286909695 2613611080 3201673573 3659055512 4416101480 4573819390 6403347146 9147638780 12806694292 16008367865 18295277560 25613388584 32016735730 64033471460 128066942920