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4012512768 = 29331126387
BaseRepresentation
bin1110111100101010…
…0001011000000000
3101100122020202202000
43233022201120000
531204200402033
61502054024000
7201301536645
oct35712413000
911318222660
104012512768
111779a60260
1293b948000
134bc3b2c14
142a0c8ddcc
151873e7a13
hexef2a1600

4012512768 has 160 divisors (see below), whose sum is σ = 12957563520. Its totient is φ = 1215866880.

The previous prime is 4012512731. The next prime is 4012512787. The reversal of 4012512768 is 8672152104.

It is a super-2 number, since 2×40125127682 = 32200517426726043648, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138871 + ... + 165257.

It is an arithmetic number, because the mean of its divisors is an integer number (80984772).

Almost surely, 24012512768 is an apocalyptic number.

4012512768 is a gapful number since it is divisible by the number (48) 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 4012512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478781760).

4012512768 is an abundant number, since it is smaller than the sum of its proper divisors (8945050752).

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

4012512768 is a wasteful number, since it uses less digits than its factorization.

4012512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26403 counting only the distinct ones).

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

The square root of 4012512768 is about 63344.3980790725. The cubic root of 4012512768 is about 1589.0545607578.

The spelling of 4012512768 in words is "four billion, twelve million, five hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 26387 38016 50688 52774 76032 79161 105548 152064 158322 211096 237483 290257 316644 422192 474966 580514 633288 712449 844384 870771 949932 1161028 1266576 1424898 1688768 1741542 1899864 2322056 2533152 2612313 2849796 3377536 3483084 3799728 4644112 5066304 5224626 5699592 6755072 6966168 7599456 7836939 9288224 10132608 10449252 11399184 13510144 13932336 15198912 15673878 18576448 20265216 20898504 22798368 27864672 30397824 31347756 37152896 40530432 41797008 45596736 55729344 60795648 62695512 74305792 83594016 91193472 111458688 121591296 125391024 148611584 167188032 182386944 222917376 250782048 334376064 364773888 445834752 501564096 668752128 1003128192 1337504256 2006256384 4012512768