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4151481012 = 22357691883
BaseRepresentation
bin1111011101110010…
…1001001010110100
3101201022202002100000
43313130221022310
532000234343022
61523540351300
7204610002120
oct36734511264
911638662300
104151481012
111840448148
1297a3a5530
1351211b753
142b5506580
151946e86ac
hexf77292b4

4151481012 has 144 divisors (see below), whose sum is σ = 12469463552. Its totient is φ = 1183079520.

The previous prime is 4151480999. The next prime is 4151481013. The reversal of 4151481012 is 2101841514.

It is a happy number.

4151481012 is a `hidden beast` number, since 41 + 514 + 8 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151481013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4701123 + ... + 4702005.

Almost surely, 24151481012 is an apocalyptic number.

4151481012 is a gapful number since it is divisible by the number (42) 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 4151481012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234731776).

4151481012 is an abundant number, since it is smaller than the sum of its proper divisors (8317982540).

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

4151481012 is a wasteful number, since it uses less digits than its factorization.

4151481012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 4151481012 is about 64431.9874906866. The cubic root of 4151481012 is about 1607.1917161832.

The spelling of 4151481012 in words is "four billion, one hundred fifty-one million, four hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 691 756 883 972 1134 1382 1701 1766 2073 2268 2649 2764 3402 3532 4146 4837 5298 6181 6219 6804 7947 8292 9674 10596 12362 12438 14511 15894 18543 18657 19348 23841 24724 24876 29022 31788 37086 37314 43533 47682 55629 55971 58044 71523 74172 74628 87066 95364 111258 111942 130599 143046 166887 167913 174132 214569 222516 223884 261198 286092 333774 335826 391797 429138 500661 522396 610153 667548 671652 783594 858276 1001322 1175391 1220306 1501983 1567188 1830459 2002644 2350782 2440612 3003966 3660918 4271071 4701564 5491377 6007932 7321836 8542142 10982754 12813213 16474131 17084284 21965508 25626426 32948262 38439639 49422393 51252852 65896524 76879278 98844786 115318917 148267179 153758556 197689572 230637834 296534358 345956751 461275668 593068716 691913502 1037870253 1383827004 2075740506 4151481012