Search a number
-
+
2750936064 = 21038310789
BaseRepresentation
bin1010001111110111…
…1111010000000000
321002201101000211220
42203331333100000
521113214423224
61132550035040
7125112366522
oct24375772000
97081330756
102750936064
111191916a88
12649348a80
1334ac0bc26
141c14d1a12
15111797279
hexa3f7f400

2750936064 has 88 divisors (see below), whose sum is σ = 7421275680. Its totient is φ = 905846784.

The previous prime is 2750936053. The next prime is 2750936087. The reversal of 2750936064 is 4606390572.

2750936064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 249582 + ... + 260370.

Almost surely, 22750936064 is an apocalyptic number.

2750936064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2750936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710637840).

2750936064 is an abundant number, since it is smaller than the sum of its proper divisors (4670339616).

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

2750936064 is a wasteful number, since it uses less digits than its factorization.

2750936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2750936064 is about 52449.3666691982. The cubic root of 2750936064 is about 1401.1786102126.

The spelling of 2750936064 in words is "two billion, seven hundred fifty million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2656 3072 3984 5312 7968 10624 10789 15936 21248 21578 31872 32367 42496 43156 63744 64734 84992 86312 127488 129468 172624 254976 258936 345248 517872 690496 895487 1035744 1380992 1790974 2071488 2686461 2761984 3581948 4142976 5372922 5523968 7163896 8285952 10745844 11047936 14327792 16571904 21491688 28655584 33143808 42983376 57311168 85966752 114622336 171933504 229244672 343867008 458489344 687734016 916978688 1375468032 2750936064