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4078617012 = 22328310712757
BaseRepresentation
bin1111001100011010…
…1100000110110100
3101112020122012201100
43303012230012310
531323111221022
61512414530100
7203033446461
oct36306540664
911466565640
104078617012
111803300368
12959b06930
134cccb9462
142a997a668
1518d1041ac
hexf31ac1b4

4078617012 has 72 divisors (see below), whose sum is σ = 10532392416. Its totient is φ = 1330501824.

The previous prime is 4078616981. The next prime is 4078617013. The reversal of 4078617012 is 2107168704.

4078617012 is a `hidden beast` number, since 407 + 86 + 170 + 1 + 2 = 666.

4078617012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078617013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313338 + ... + 326094.

It is an arithmetic number, because the mean of its divisors is an integer number (146283228).

Almost surely, 24078617012 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 4078617012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266196208).

4078617012 is an abundant number, since it is smaller than the sum of its proper divisors (6453775404).

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

4078617012 is a wasteful number, since it uses less digits than its factorization.

4078617012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4078617012 is about 63864.0510146358. The cubic root of 4078617012 is about 1597.7333806434.

The spelling of 4078617012 in words is "four billion, seventy-eight million, six hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 107 166 214 249 321 332 428 498 642 747 963 996 1284 1494 1926 2988 3852 8881 12757 17762 25514 26643 35524 38271 51028 53286 76542 79929 106572 114813 153084 159858 229626 319716 459252 1058831 1364999 2117662 2729998 3176493 4094997 4235324 5459996 6352986 8189994 9529479 12284991 12705972 16379988 19058958 24569982 38117916 49139964 113294917 226589834 339884751 453179668 679769502 1019654253 1359539004 2039308506 4078617012