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4768636380 = 2235313138191
BaseRepresentation
bin1000111000011101…
…11001110111011100
3110022100000211100020
410130032321313130
534231232331010
62105104232140
7226112511654
oct43416716734
913270024306
104768636380
112027853102
12b1100b650
135acc42a41
14333477364
151cd9a4470
hex11c3b9ddc

4768636380 has 96 divisors (see below), whose sum is σ = 13828620288. Its totient is φ = 1226534400.

The previous prime is 4768636351. The next prime is 4768636381. The reversal of 4768636380 is 836368674.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768636381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578085 + ... + 586275.

It is an arithmetic number, because the mean of its divisors is an integer number (144048128).

Almost surely, 24768636380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768636380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914310144).

4768636380 is an abundant number, since it is smaller than the sum of its proper divisors (9059983908).

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

4768636380 is a wasteful number, since it uses less digits than its factorization.

4768636380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 4768636380 is about 69055.3139157299. The cubic root of 4768636380 is about 1683.1832573674.

The spelling of 4768636380 in words is "four billion, seven hundred sixty-eight million, six hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 313 372 465 620 626 930 939 1252 1565 1860 1878 3130 3756 4695 6260 8191 9390 9703 16382 18780 19406 24573 29109 32764 38812 40955 48515 49146 58218 81910 97030 98292 116436 122865 145545 163820 194060 245730 253921 291090 491460 507842 582180 761763 1015684 1269605 1523526 2539210 2563783 3047052 3808815 5078420 5127566 7617630 7691349 10255132 12818915 15235260 15382698 25637830 30765396 38456745 51275660 76913490 79477273 153826980 158954546 238431819 317909092 397386365 476863638 794772730 953727276 1192159095 1589545460 2384318190 4768636380