Search a number
-
+
127485868992 = 26329193118633
BaseRepresentation
bin111011010111010111…
…1111111101111000000
3110012001201011011020120
41312232233333233000
54042042340301432
6134322144340240
712132135002226
oct1665657775700
9405051134216
10127485868992
114a0804a4309
122085a914680
13c039068451
14625561ab16
1534b2295c2c
hex1daebffbc0

127485868992 has 112 divisors (see below), whose sum is σ = 350748539040. Its totient is φ = 40817000448.

The previous prime is 127485868981. The next prime is 127485869029. The reversal of 127485868992 is 299868584721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015308 + ... + 1133940.

Almost surely, 2127485868992 is an apocalyptic number.

127485868992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127485868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175374269520).

127485868992 is an abundant number, since it is smaller than the sum of its proper divisors (223262670048).

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

127485868992 is a wasteful number, since it uses less digits than its factorization.

127485868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118870 (or 118860 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 69.

The spelling of 127485868992 in words is "one hundred twenty-seven billion, four hundred eighty-five million, eight hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 193 232 348 386 464 579 696 772 928 1158 1392 1544 1856 2316 2784 3088 4632 5568 5597 6176 9264 11194 12352 16791 18528 22388 33582 37056 44776 67164 89552 118633 134328 179104 237266 268656 355899 358208 474532 537312 711798 949064 1074624 1423596 1898128 2847192 3440357 3796256 5694384 6880714 7592512 10321071 11388768 13761428 20642142 22777536 22896169 27522856 41284284 45792338 55045712 68688507 82568568 91584676 110091424 137377014 165137136 183169352 220182848 274754028 330274272 366338704 549508056 660548544 663988901 732677408 1099016112 1327977802 1465354816 1991966703 2198032224 2655955604 3983933406 4396064448 5311911208 7967866812 10623822416 15935733624 21247644832 31871467248 42495289664 63742934496 127485868992