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2157041775 = 352723414357
BaseRepresentation
bin1000000010010001…
…1101100001101111
312120022212002001010
42000210131201233
513404200314100
6554012520303
7104311360350
oct20044354157
95508762033
102157041775
11a07659459
12502480093
13284b704a5
14166697d27
15c9583750
hex8091d86f

2157041775 has 96 divisors (see below), whose sum is σ = 4357721088. Its totient is φ = 919987200.

The previous prime is 2157041701. The next prime is 2157041791. The reversal of 2157041775 is 5771407512.

It is a happy number.

It is not a de Polignac number, because 2157041775 - 212 = 2157037679 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492897 + ... + 497253.

It is an arithmetic number, because the mean of its divisors is an integer number (45392928).

Almost surely, 22157041775 is an apocalyptic number.

2157041775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2157041775 is an abundant number, since it is smaller than the sum of its proper divisors (2200679313).

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

2157041775 is a wasteful number, since it uses less digits than its factorization.

2157041775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 39.

The square root of 2157041775 is about 46443.9638166253. The cubic root of 2157041775 is about 1292.0704238069.

The spelling of 2157041775 in words is "two billion, one hundred fifty-seven million, forty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 15 21 23 25 35 41 69 75 105 115 123 161 175 205 287 345 483 525 575 615 805 861 943 1025 1435 1725 2415 2829 3075 4025 4305 4357 4715 6601 7175 12075 13071 14145 19803 21525 21785 23575 30499 33005 65355 70725 91497 99015 100211 108925 152495 165025 178637 300633 326775 457485 495075 501055 535911 701477 762475 893185 1250459 1503165 2104431 2287425 2505275 2679555 3507385 3751377 4108651 4465925 6252295 7515825 10522155 12325953 13397775 17536925 18756885 20543255 28760557 31261475 52610775 61629765 86281671 93784425 102716275 143802785 308148825 431408355 719013925 2157041775