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2697330048 = 2737320479
BaseRepresentation
bin1010000011000101…
…1111110110000000
320221222111120012220
42200301133312000
521011004030143
61123353051040
7123561633000
oct24061376600
96858446186
102697330048
111164632a96
126333b6a80
1333ca903aa
141b833a000
1510bc08d83
hexa0c5fd80

2697330048 has 128 divisors (see below), whose sum is σ = 8355840000. Its totient is φ = 770628096.

The previous prime is 2697330043. The next prime is 2697330061. The reversal of 2697330048 is 8400337962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2697329991 and 2697330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697330043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121473 + ... + 141951.

It is an arithmetic number, because the mean of its divisors is an integer number (65280000).

Almost surely, 22697330048 is an apocalyptic number.

2697330048 is a gapful number since it is divisible by the number (28) 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 2697330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177920000).

2697330048 is an abundant number, since it is smaller than the sum of its proper divisors (5658509952).

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

2697330048 is an equidigital number, since it uses as much as digits as its factorization.

2697330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20517 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2697330048 is about 51935.8262473988. The cubic root of 2697330048 is about 1392.0175053949.

The spelling of 2697330048 in words is "two billion, six hundred ninety-seven million, three hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 3136 4116 4704 5488 6272 8232 9408 10976 16464 18816 20479 21952 32928 40958 43904 61437 65856 81916 122874 131712 143353 163832 245748 286706 327664 430059 491496 573412 655328 860118 982992 1003471 1146824 1310656 1720236 1965984 2006942 2293648 2621312 3010413 3440472 3931968 4013884 4587296 6020826 6880944 7024297 7863936 8027768 9174592 12041652 13761888 14048594 16055536 18349184 21072891 24083304 27523776 28097188 32111072 42145782 48166608 55047552 56194376 64222144 84291564 96333216 112388752 128444288 168583128 192666432 224777504 337166256 385332864 449555008 674332512 899110016 1348665024 2697330048