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6428145020 = 2251131792173
BaseRepresentation
bin1011111110010010…
…11011010101111100
3121120222200121020012
411333021123111330
5101131101120040
62541505242352
7315203221403
oct57711332574
917528617205
106428145020
1127a957a550
1212b49333b8
137b59b2c0b
1444da1c63a
1527950a865
hex17f25b57c

6428145020 has 48 divisors (see below), whose sum is σ = 14772911328. Its totient is φ = 2330108160.

The previous prime is 6428145011. The next prime is 6428145029. The reversal of 6428145020 is 205418246.

It is an interprime number because it is at equal distance from previous prime (6428145011) and next prime (6428145029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428145029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23654 + ... + 115826.

It is an arithmetic number, because the mean of its divisors is an integer number (307768986).

Almost surely, 26428145020 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 6428145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386455664).

6428145020 is an abundant number, since it is smaller than the sum of its proper divisors (8344766308).

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

6428145020 is a wasteful number, since it uses less digits than its factorization.

6428145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92510 (or 92508 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 6428145020 is about 80175.7134049957. The cubic root of 6428145020 is about 1859.3531704689.

The spelling of 6428145020 in words is "six billion, four hundred twenty-eight million, one hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 3170 3487 6340 6974 13948 17435 34870 69740 92173 184346 368692 460865 921730 1013903 1843460 2027806 4055612 5069515 10139030 20278060 29218841 58437682 116875364 146094205 292188410 321407251 584376820 642814502 1285629004 1607036255 3214072510 6428145020