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2673723096 = 23321116991987
BaseRepresentation
bin1001111101011101…
…1100011011011000
320220100002012120100
42133113130123120
520433433114341
61121151055400
7123154162032
oct23727343330
96810065510
102673723096
111152279810
12627511560
13337c16295
141b5152c52
15109ae43b6
hex9f5dc6d8

2673723096 has 96 divisors (see below), whose sum is σ = 7908264000. Its totient is φ = 809334720.

The previous prime is 2673723077. The next prime is 2673723103. The reversal of 2673723096 is 6903273762.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344615 + ... + 1346601.

It is an arithmetic number, because the mean of its divisors is an integer number (82377750).

Almost surely, 22673723096 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 2673723096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954132000).

2673723096 is an abundant number, since it is smaller than the sum of its proper divisors (5234540904).

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

2673723096 is a wasteful number, since it uses less digits than its factorization.

2673723096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 2673723096 is about 51708.0563935640. The cubic root of 2673723096 is about 1387.9446350972.

The spelling of 2673723096 in words is "two billion, six hundred seventy-three million, seven hundred twenty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1699 1987 3398 3974 5097 5961 6796 7948 10194 11922 13592 15291 15896 17883 18689 20388 21857 23844 30582 35766 37378 40776 43714 47688 56067 61164 65571 71532 74756 87428 112134 122328 131142 143064 149512 168201 174856 196713 224268 262284 336402 393426 448536 524568 672804 786852 1345608 1573704 3375913 6751826 10127739 13503652 20255478 27007304 30383217 37135043 40510956 60766434 74270086 81021912 111405129 121532868 148540172 222810258 243065736 297080344 334215387 445620516 668430774 891241032 1336861548 2673723096