Search a number
-
+
12025542000 = 2435310511907
BaseRepresentation
bin10110011001100011…
…10011010101110000
31011001002011211101110
423030301303111300
5144112014321000
65305141033320
7604001264133
oct131461632560
934032154343
1012025542000
11511111776a
1223b73b5840
131198538634
1482118a21a
154a5b18850
hex2ccc73570

12025542000 has 160 divisors (see below), whose sum is σ = 38827586304. Its totient is φ = 3202080000.

The previous prime is 12025541977. The next prime is 12025542031. The reversal of 12025542000 is 24552021.

It is a happy number.

12025542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120255420002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6305047 + ... + 6306953.

Almost surely, 212025542000 is an apocalyptic number.

12025542000 is a gapful number since it is divisible by the number (10) 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 12025542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413793152).

12025542000 is an abundant number, since it is smaller than the sum of its proper divisors (26802044304).

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

12025542000 is a wasteful number, since it uses less digits than its factorization.

12025542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 12025542000 in words is "twelve billion, twenty-five million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1051 1200 1500 1907 2000 2102 3000 3153 3814 4204 5255 5721 6000 6306 7628 8408 9535 10510 11442 12612 15256 15765 16816 19070 21020 22884 25224 26275 28605 30512 31530 38140 42040 45768 47675 50448 52550 57210 63060 76280 78825 84080 91536 95350 105100 114420 126120 131375 143025 152560 157650 190700 210200 228840 238375 252240 262750 286050 315300 381400 394125 420400 457680 476750 525500 572100 630600 715125 762800 788250 953500 1051000 1144200 1261200 1430250 1576500 1907000 2004257 2102000 2288400 2860500 3153000 3814000 4008514 5721000 6012771 6306000 8017028 10021285 11442000 12025542 16034056 20042570 24051084 30063855 32068112 40085140 48102168 50106425 60127710 80170280 96204336 100212850 120255420 150319275 160340560 200425700 240510840 250532125 300638550 400851400 481021680 501064250 601277100 751596375 801702800 1002128500 1202554200 1503192750 2004257000 2405108400 3006385500 4008514000 6012771000 12025542000