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424121352516 = 22321085412
BaseRepresentation
bin1100010101111111001…
…10100100000101000100
31111112201202011001001100
412022333212210011010
523422100031240031
6522501052300100
742433060004631
oct6127746440504
91445652131040
10424121352516
111539614a0584
126a245471630
1330cc0b160b4
141675598b188
15b0743aade6
hex62bf9a4144

424121352516 has 27 divisors (see below), whose sum is σ = 1072094407293. Its totient is φ = 141372481680.

The previous prime is 424121352503. The next prime is 424121352541. The reversal of 424121352516 is 615253121424.

The square root of 424121352516 is 651246.

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

424121352516 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 2 + 135 + 2 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379768992516 + 44352360000 = 616254^2 + 210600^2 .

It is a super-2 number, since 2×4241213525162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3853206 + ... + 3961746.

Almost surely, 2424121352516 is an apocalyptic number.

424121352516 is the 651246-th square number.

It is an amenable number.

424121352516 is an abundant number, since it is smaller than the sum of its proper divisors (647973054777).

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

424121352516 is an frugal number, since it uses more digits than its factorization.

424121352516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217092 (or 108546 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Multiplying 424121352516 by its sum of digits (36), we get a square (15268368690576 = 39074762).

424121352516 divided by its sum of digits (36) gives a square (11781148681 = 1085412).

The spelling of 424121352516 in words is "four hundred twenty-four billion, one hundred twenty-one million, three hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 108541 217082 325623 434164 651246 976869 1302492 1953738 3907476 11781148681 23562297362 35343446043 47124594724 70686892086 106030338129 141373784172 212060676258 424121352516