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2695060992 = 29313139971
BaseRepresentation
bin1010000010100011…
…0101111000000000
320221211020021122210
42200220311320000
521004413422432
61123232302120
7123533432451
oct24050657000
96854207583
102695060992
111163323238
126326a1940
1333c477660
141b7d09128
1510b90b8cc
hexa0a35e00

2695060992 has 160 divisors (see below), whose sum is σ = 7795751040. Its totient is φ = 822435840.

The previous prime is 2695060957. The next prime is 2695060993. The reversal of 2695060992 is 2990605962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695060993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2775067 + ... + 2776037.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 22695060992 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 2695060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897875520).

2695060992 is an abundant number, since it is smaller than the sum of its proper divisors (5100690048).

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

2695060992 is a wasteful number, since it uses less digits than its factorization.

2695060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 2695060992 is about 51913.9768463176. The cubic root of 2695060992 is about 1391.6270635237.

The spelling of 2695060992 in words is "two billion, six hundred ninety-five million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 512 556 624 768 832 834 971 1112 1248 1536 1664 1668 1807 1942 2224 2496 2913 3328 3336 3614 3884 4448 4992 5421 5826 6656 6672 7228 7768 8896 9984 10842 11652 12623 13344 14456 15536 17792 19968 21684 23304 25246 26688 28912 31072 35584 37869 43368 46608 50492 53376 57824 62144 71168 75738 86736 93216 100984 106752 115648 124288 134969 151476 173472 186432 201968 213504 231296 248576 269938 302952 346944 372864 403936 404907 462592 497152 539876 605904 693888 745728 807872 809814 925184 1079752 1211808 1387776 1491456 1615744 1619628 1754597 2159504 2423616 2775552 3231488 3239256 3509194 4319008 4847232 5263791 6462976 6478512 7018388 8638016 9694464 10527582 12957024 14036776 17276032 19388928 21055164 25914048 28073552 34552064 42110328 51828096 56147104 69104128 84220656 103656192 112294208 168441312 207312384 224588416 336882624 449176832 673765248 898353664 1347530496 2695060992