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4120152256 = 261115737277
BaseRepresentation
bin1111010110010100…
…1000100011000000
3101122010210102100201
43311211020203000
531414224333011
61520501054544
7204046500463
oct36545104300
911563712321
104120152256
11182479a410
1296b9b7454
1350879ca1c
142b12ad2da
15191aaacc1
hexf59488c0

4120152256 has 56 divisors (see below), whose sum is σ = 8976244176. Its totient is φ = 1860817920.

The previous prime is 4120152241. The next prime is 4120152263. The reversal of 4120152256 is 6522510214.

It is a super-2 number, since 2×41201522562 = 33951309225243779072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91890 + ... + 129166.

Almost surely, 24120152256 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 4120152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488122088).

4120152256 is an abundant number, since it is smaller than the sum of its proper divisors (4856091920).

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

4120152256 is a wasteful number, since it uses less digits than its factorization.

4120152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37457 (or 37447 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4120152256 is about 64188.4121629442. The cubic root of 4120152256 is about 1603.1386639668.

The spelling of 4120152256 in words is "four billion, one hundred twenty million, one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 157 176 314 352 628 704 1256 1727 2512 3454 5024 6908 10048 13816 27632 37277 55264 74554 110528 149108 298216 410047 596432 820094 1192864 1640188 2385728 3280376 5852489 6560752 11704978 13121504 23409956 26243008 46819912 64377379 93639824 128754758 187279648 257509516 374559296 515019032 1030038064 2060076128 4120152256