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4012533632 = 2723472617
BaseRepresentation
bin1110111100101010…
…0110011110000000
3101100122021211100202
43233022212132000
531204202034012
61502054304332
7201301654532
oct35712463600
911318254322
104012533632
111779a749a8
1293b9580a8
134bc3bc573
142a0c97852
151873edcc2
hexef2a6780

4012533632 has 96 divisors (see below), whose sum is σ = 8536335120. Its totient is φ = 1875163136.

The previous prime is 4012533559. The next prime is 4012533659. The reversal of 4012533632 is 2363352104.

4012533632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40125336322 = 32200852295862222848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4012533595 and 4012533604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6502988 + ... + 6503604.

Almost surely, 24012533632 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 4012533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268167560).

4012533632 is an abundant number, since it is smaller than the sum of its proper divisors (4523801488).

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

4012533632 is an equidigital number, since it uses as much as digits as its factorization.

4012533632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 4012533632 is about 63344.5627658760. The cubic root of 4012533632 is about 1589.0573149734.

Adding to 4012533632 its reverse (2363352104), we get a palindrome (6375885736).

The spelling of 4012533632 in words is "four billion, twelve million, five hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 368 376 617 736 752 1081 1234 1472 1504 2162 2209 2468 2944 3008 4324 4418 4936 6016 8648 8836 9872 14191 17296 17672 19744 28382 28999 34592 35344 39488 50807 56764 57998 69184 70688 78976 101614 113528 115996 138368 141376 203228 227056 231992 282752 406456 454112 463984 666977 812912 908224 927968 1333954 1362953 1625824 1816448 1855936 2667908 2725906 3251648 3711872 5335816 5451812 6503296 10671632 10903624 21343264 21807248 31347919 42686528 43614496 62695838 85373056 87228992 125391676 174457984 250783352 501566704 1003133408 2006266816 4012533632