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3700006112 = 2511591631093
BaseRepresentation
bin1101110010001001…
…1001110011100000
3100112212012210012102
43130202121303200
530034200143422
61411051545532
7160455350555
oct33442316340
910485183172
103700006112
1116296143a0
1287315b2a8
1346c72663a
14271582a2c
15169c68192
hexdc899ce0

3700006112 has 96 divisors (see below), whose sum is σ = 8138309760. Its totient is φ = 1641669120.

The previous prime is 3700006081. The next prime is 3700006117. The reversal of 3700006112 is 2116000073.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3700006117) 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, 3384638 + ... + 3385730.

It is an arithmetic number, because the mean of its divisors is an integer number (84774060).

Almost surely, 23700006112 is an apocalyptic number.

3700006112 is a gapful number since it is divisible by the number (32) 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 3700006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069154880).

3700006112 is an abundant number, since it is smaller than the sum of its proper divisors (4438303648).

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

3700006112 is a wasteful number, since it uses less digits than its factorization.

3700006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3700006112 is about 60827.6755432920. The cubic root of 3700006112 is about 1546.6812254212.

Adding to 3700006112 its reverse (2116000073), we get a palindrome (5816006185).

It can be divided in two parts, 37000061 and 12, that added together give a palindrome (37000073).

The spelling of 3700006112 in words is "three billion, seven hundred million, six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 163 176 236 326 352 472 649 652 944 1093 1298 1304 1793 1888 2186 2596 2608 3586 4372 5192 5216 7172 8744 9617 10384 12023 14344 17488 19234 20768 24046 28688 34976 38468 48092 57376 64487 76936 96184 105787 128974 153872 178159 192368 211574 257948 307744 356318 384736 423148 515896 709357 712636 846296 1031792 1418714 1425272 1692592 1959749 2063584 2837428 2850544 3385184 3919498 5674856 5701088 7838996 10511381 11349712 15677992 21022762 22699424 31355984 42045524 62711968 84091048 115625191 168182096 231250382 336364192 462500764 925001528 1850003056 3700006112