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3709741056 = 2113786257
BaseRepresentation
bin1101110100011110…
…0010100000000000
3100120112112101000220
43131013202200000
530044143203211
61412040343040
7160634164410
oct33507424000
910515471026
103709741056
1116340633aa
12876474a80
13471754668
14272998640
1516aa3c806
hexdd1e2800

3709741056 has 96 divisors (see below), whose sum is σ = 11303248320. Its totient is φ = 1059913728.

The previous prime is 3709741043. The next prime is 3709741069. The reversal of 3709741056 is 6501479073.

It is an interprime number because it is at equal distance from previous prime (3709741043) and next prime (3709741069).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 3709740999 and 3709741017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 86136.

It is an arithmetic number, because the mean of its divisors is an integer number (117742170).

Almost surely, 23709741056 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 3709741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651624160).

3709741056 is an abundant number, since it is smaller than the sum of its proper divisors (7593507264).

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

3709741056 is an equidigital number, since it uses as much as digits as its factorization.

3709741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86289 (or 86269 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 3709741056 is about 60907.6436582470. The cubic root of 3709741056 is about 1548.0365086970.

The spelling of 3709741056 in words is "three billion, seven hundred nine million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 86257 172514 258771 345028 517542 603799 690056 1035084 1207598 1380112 1811397 2070168 2415196 2760224 3622794 4140336 4830392 5520448 7245588 8280672 9660784 11040896 14491176 16561344 19321568 22081792 28982352 33122688 38643136 44163584 57964704 66245376 77286272 88327168 115929408 132490752 154572544 176654336 231858816 264981504 309145088 463717632 529963008 618290176 927435264 1236580352 1854870528 3709741056