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1054722816 = 2833721799
BaseRepresentation
bin111110110111011…
…100101100000000
32201111122110201000
4332313130230000
54130002112231
6252354212000
735064665430
oct7667345400
92644573630
101054722816
114a13aa954
12255284000
1313a68a154
14a01142c0
15628e06e6
hex3eddcb00

1054722816 has 144 divisors (see below), whose sum is σ = 3564736000. Its totient is φ = 301335552.

The previous prime is 1054722811. The next prime is 1054722847. The reversal of 1054722816 is 6182274501.

1054722816 is a `hidden beast` number, since 10 + 547 + 22 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10547228162 = 2224880437181939712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054722811) 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, 37485 + ... + 59283.

Almost surely, 21054722816 is an apocalyptic number.

1054722816 is a gapful number since it is divisible by the number (16) 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 1054722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782368000).

1054722816 is an abundant number, since it is smaller than the sum of its proper divisors (2510013184).

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

1054722816 is an equidigital number, since it uses as much as digits as its factorization.

1054722816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21831 (or 21811 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1054722816 is about 32476.4963627544. The cubic root of 1054722816 is about 1017.9179675627.

The spelling of 1054722816 in words is "one billion, fifty-four million, seven hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 21799 24192 43598 48384 65397 87196 130794 152593 174392 196191 261588 305186 348784 392382 457779 523176 588573 610372 697568 784764 915558 1046352 1177146 1220744 1373337 1395136 1569528 1831116 2092704 2354292 2441488 2746674 2790272 3139056 3662232 4120011 4185408 4708584 4882976 5493348 5580544 6278112 7324464 8240022 8370816 9417168 9765952 10986696 12556224 14648928 16480044 16741632 18834336 19531904 21973392 25112448 29297856 32960088 37668672 39063808 43946784 50224896 58595712 65920176 75337344 87893568 117191424 131840352 150674688 175787136 263680704 351574272 527361408 1054722816