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2173713984 = 263213432157
BaseRepresentation
bin1000000110010000…
…0011111001000000
312121111020010000100
42001210003321000
513422432321414
6555410122400
7104603156361
oct20144037100
95544203010
102173713984
11a16006542
12507b80400
13288459cc0
14168997b68
15cac78609
hex81903e40

2173713984 has 252 divisors, whose sum is σ = 6913258716. Its totient is φ = 649119744.

The previous prime is 2173713977. The next prime is 2173714003. The reversal of 2173713984 is 4893173712.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 1704038400 = 21672^2 + 41280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13845234 + ... + 13845390.

Almost surely, 22173713984 is an apocalyptic number.

2173713984 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 2173713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456629358).

2173713984 is an abundant number, since it is smaller than the sum of its proper divisors (4739544732).

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

2173713984 is a wasteful number, since it uses less digits than its factorization.

2173713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 218 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2173713984 is about 46623.1056880599. The cubic root of 2173713984 is about 1295.3907744732.

It can be divided in two parts, 21737 and 13984, that added together give a square (35721 = 1892).

The spelling of 2173713984 in words is "two billion, one hundred seventy-three million, seven hundred thirteen thousand, nine hundred eighty-four".