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42900351376 = 245329772
BaseRepresentation
bin100111111101000011…
…110110100110010000
311002201210120122121211
4213331003312212100
51200324442221001
631412543225504
73046052653501
oct477503664620
9132653518554
1042900351376
1117215147a53
1283932a8294
134078c171cc
14210d874ba8
1511b1445351
hex9fd0f6990

42900351376 has 45 divisors (see below), whose sum is σ = 84804112771. Its totient is φ = 21023914496.

The previous prime is 42900351301. The next prime is 42900351379. The reversal of 42900351376 is 67315300924.

It is a happy number.

The square root of 42900351376 is 207124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20256120976 + 22644230400 = 142324^2 + 150480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42900351379) 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 8 ways as a sum of consecutive naturals, for example, 43909800 + ... + 43910776.

Almost surely, 242900351376 is an apocalyptic number.

42900351376 is the 207124-th square number.

It is an amenable number.

42900351376 is a deficient number, since it is larger than the sum of its proper divisors (41903761395).

42900351376 is an frugal number, since it uses more digits than its factorization.

42900351376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 42900351376 in words is "forty-two billion, nine hundred million, three hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 53 106 212 424 848 977 1954 2809 3908 5618 7816 11236 15632 22472 44944 51781 103562 207124 414248 828496 954529 1909058 2744393 3818116 5488786 7636232 10977572 15272464 21955144 43910288 50590037 101180074 202360148 404720296 809440592 2681271961 5362543922 10725087844 21450175688 42900351376