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4986293120 = 275171924121
BaseRepresentation
bin1001010010011010…
…01100101110000000
3110212111120221020222
410221031030232000
540202442334440
62142441322212
7234364535504
oct45115145600
913774527228
104986293120
1121296a5906
12b71a96368
1361606ca03
14354334304
151e2b4a2b5
hex12934cb80

4986293120 has 128 divisors (see below), whose sum is σ = 13286397600. Its totient is φ = 1778319360.

The previous prime is 4986293111. The next prime is 4986293149. The reversal of 4986293120 is 213926894.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194660 + ... + 218780.

Almost surely, 24986293120 is an apocalyptic number.

4986293120 is a gapful number since it is divisible by the number (40) 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 4986293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643198800).

4986293120 is an abundant number, since it is smaller than the sum of its proper divisors (8300104480).

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

4986293120 is a wasteful number, since it uses less digits than its factorization.

4986293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24164 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 4986293120 is about 70613.6893243796. The cubic root of 4986293120 is about 1708.4119543009.

The spelling of 4986293120 in words is "four billion, nine hundred eighty-six million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 340 380 544 608 640 646 680 760 1088 1216 1292 1360 1520 1615 2176 2432 2584 2720 3040 3230 5168 5440 6080 6460 10336 10880 12160 12920 20672 24121 25840 41344 48242 51680 96484 103360 120605 192968 206720 241210 385936 410057 458299 482420 771872 820114 916598 964840 1543744 1640228 1833196 1929680 2050285 2291495 3087488 3280456 3666392 3859360 4100570 4582990 6560912 7332784 7718720 7791083 8201140 9165980 13121824 14665568 15437440 15582166 16402280 18331960 26243648 29331136 31164332 32804560 36663920 38955415 52487296 58662272 62328664 65609120 73327840 77910830 124657328 131218240 146655680 155821660 249314656 262436480 293311360 311643320 498629312 623286640 997258624 1246573280 2493146560 4986293120