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475283390464 = 21626932
BaseRepresentation
bin1101110101010010001…
…10010000000000000000
31200102210022112212001201
412322221012100000000
530241340021443324
61002201524310544
746223652106261
oct6725106200000
91612708485051
10475283390464
111736260a0973
1278143542454
1335a8554822c
141900a768968
15c56ac8d444
hex6ea9190000

475283390464 has 51 divisors (see below), whose sum is σ = 950912633953. Its totient is φ = 237553451008.

The previous prime is 475283390437. The next prime is 475283390489. The reversal of 475283390464 is 464093382574.

The square root of 475283390464 is 689408.

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

It can be written as a sum of positive squares in only one way, i.e., 195010560000 + 280272830464 = 441600^2 + 529408^2 .

It is a super-2 number, since 2×4752833904642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 176487102 + ... + 176489794.

Almost surely, 2475283390464 is an apocalyptic number.

475283390464 is the 689408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475283390464

475283390464 is an abundant number, since it is smaller than the sum of its proper divisors (475629243489).

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

475283390464 is an frugal number, since it uses more digits than its factorization.

475283390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 475283390464 in words is "four hundred seventy-five billion, two hundred eighty-three million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2693 4096 5386 8192 10772 16384 21544 32768 43088 65536 86176 172352 344704 689408 1378816 2757632 5515264 7252249 11030528 14504498 22061056 29008996 44122112 58017992 88244224 116035984 176488448 232071968 464143936 928287872 1856575744 3713151488 7426302976 14852605952 29705211904 59410423808 118820847616 237641695232 475283390464