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434075099248 = 2475965689331
BaseRepresentation
bin1100101000100001110…
…01000110000001110000
31112111102102212202121201
412110100321012001300
524102441211133443
6531224503500544
743234533315460
oct6242071060160
91474372782551
10434075099248
111580aa09384a
1270162a57754
1331c1905a66b
141701b90dba0
15b45817e34d
hex6510e46070

434075099248 has 40 divisors (see below), whose sum is σ = 977457260160. Its totient is φ = 182879094720.

The previous prime is 434075099221. The next prime is 434075099287. The reversal of 434075099248 is 842990570434.

It is a super-2 number, since 2×4340750992482 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32838058 + ... + 32851273.

It is an arithmetic number, because the mean of its divisors is an integer number (24436431504).

Almost surely, 2434075099248 is an apocalyptic number.

It is an amenable number.

434075099248 is an abundant number, since it is smaller than the sum of its proper divisors (543382160912).

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

434075099248 is a wasteful number, since it uses less digits than its factorization.

434075099248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65689405 (or 65689399 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 434075099248 in words is "four hundred thirty-four billion, seventy-five million, ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 65689331 131378662 262757324 459825317 525514648 919650634 1051029296 1839301268 3678602536 3875670529 7357205072 7751341058 15502682116 27129693703 31005364232 54259387406 62010728464 108518774812 217037549624 434075099248