Search a number
-
+
473157160040 = 235171307532379
BaseRepresentation
bin1101110001010100101…
…11010100110001101000
31200020022010200011020202
412320222113110301220
530223011213110130
61001210532011332
746120163333615
oct6705227246150
91606263604222
10473157160040
11172734977544
127784b460b48
1335806ba5116
1418c8821150c
15c494294145
hex6e2a5d4c68

473157160040 has 64 divisors (see below), whose sum is σ = 1128091924800. Its totient is φ = 177993131008.

The previous prime is 473157160033. The next prime is 473157160043. The reversal of 473157160040 is 40061751374.

It is a junction number, because it is equal to n+sod(n) for n = 473157159976 and 473157160003.

It is not an unprimeable number, because it can be changed into a prime (473157160043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622571 + ... + 1154949.

It is an arithmetic number, because the mean of its divisors is an integer number (17626436325).

Almost surely, 2473157160040 is an apocalyptic number.

473157160040 is a gapful number since it is divisible by the number (40) 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 473157160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564045962400).

473157160040 is an abundant number, since it is smaller than the sum of its proper divisors (654934764760).

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

473157160040 is a wasteful number, since it uses less digits than its factorization.

473157160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533714 (or 533710 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 473157160040 in words is "four hundred seventy-three billion, one hundred fifty-seven million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1307 2614 5228 6535 10456 13070 22219 26140 44438 52280 88876 111095 177752 222190 444380 532379 888760 1064758 2129516 2661895 4259032 5323790 9050443 10647580 18100886 21295160 36201772 45252215 72403544 90504430 181008860 362017720 695819353 1391638706 2783277412 3479096765 5566554824 6958193530 11828929001 13916387060 23657858002 27832774120 47315716004 59144645005 94631432008 118289290010 236578580020 473157160040