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2753012736 = 21032436947
BaseRepresentation
bin1010010000010111…
…1010010000000000
321002212021112111200
42210011322100000
521114232401421
61133102341200
7125136136125
oct24405722000
97085245450
102753012736
111193005241
12649b8a800
1334b488226
141c18b274c
15111a57726
hexa417a400

2753012736 has 132 divisors (see below), whose sum is σ = 8135302032. Its totient is φ = 896200704.

The previous prime is 2753012707. The next prime is 2753012791. The reversal of 2753012736 is 6372103572.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2753012736.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392815 + ... + 399761.

It is an arithmetic number, because the mean of its divisors is an integer number (61631076).

Almost surely, 22753012736 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 2753012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067651016).

2753012736 is an abundant number, since it is smaller than the sum of its proper divisors (5382289296).

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

2753012736 is a wasteful number, since it uses less digits than its factorization.

2753012736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2753012736 is about 52469.1598560526. The cubic root of 2753012736 is about 1401.5311031374.

The spelling of 2753012736 in words is "two billion, seven hundred fifty-three million, twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 6947 8256 9216 11008 12384 13894 16512 20841 22016 24768 27788 33024 41682 44032 49536 55576 62523 66048 83364 99072 111152 125046 132096 166728 198144 222304 250092 298721 333456 396288 444608 500184 597442 666912 889216 896163 1000368 1194884 1333824 1778432 1792326 2000736 2389768 2667648 2688489 3556864 3584652 4001472 4779536 5335296 5376978 7113728 7169304 8002944 9559072 10670592 10753956 14338608 16005888 19118144 21341184 21507912 28677216 32011776 38236288 43015824 57354432 64023552 76472576 86031648 114708864 152945152 172063296 229417728 305890304 344126592 458835456 688253184 917670912 1376506368 2753012736