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4076170070742 = 23271113812129587
BaseRepresentation
bin111011010100001110101…
…010110100101011010110
3112102200022022010012200100
4323110032222310223112
51013240444014230432
612400322222554530
7600331202633160
oct73241652645326
915380268105610
104076170070742
11133176a815160
12559ba5138a46
132374c5617403
14101405595930
157106d0ea07c
hex3b50eab4ad6

4076170070742 has 96 divisors (see below), whose sum is σ = 11018931266304. Its totient is φ = 1057978324800.

The previous prime is 4076170070741. The next prime is 4076170070767. The reversal of 4076170070742 is 2470700716704.

4076170070742 is a `hidden beast` number, since 407 + 6 + 170 + 0 + 7 + 0 + 74 + 2 = 666.

It is a super-2 number, since 2×40761700707422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076170070741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849273 + ... + 2978859.

It is an arithmetic number, because the mean of its divisors is an integer number (114780534024).

Almost surely, 24076170070742 is an apocalyptic number.

4076170070742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076170070742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509465633152).

4076170070742 is an abundant number, since it is smaller than the sum of its proper divisors (6942761195562).

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

4076170070742 is a wasteful number, since it uses less digits than its factorization.

4076170070742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130994 (or 2130991 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 4076170070742 in words is "four trillion, seventy-six billion, one hundred seventy million, seventy thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1381 1386 2762 4143 8286 9667 12429 15191 19334 24858 29001 30382 45573 58002 87003 91146 106337 136719 174006 212674 273438 319011 638022 957033 1914066 2129587 4259174 6388761 12777522 14907109 19166283 23425457 29814218 38332566 44721327 46850914 70276371 89442654 134163981 140552742 163978199 210829113 268327962 327956398 421658226 491934597 983869194 1475803791 2940959647 2951607582 5881919294 8822878941 17645757882 20586717529 26468636823 32350556117 41173435058 52937273646 61760152587 64701112234 97051668351 123520305174 185280457761 194103336702 226453892819 291155005053 370560915522 452907785638 582310010106 679361678457 1358723356914 2038085035371 4076170070742