Search a number
-
+
887032327040 = 2758924776287
BaseRepresentation
bin11001110100001110011…
…11110010101110000000
310010210120210211001010122
430322013033302232000
5104013120233431130
61515255205115412
7121041326242556
oct14720717625600
93123523731118
10887032327040
11312208695202
12123ab53b8b68
1365853cc5642
1430d0b073bd6
1518118d632e5
hexce873f2b80

887032327040 has 128 divisors (see below), whose sum is σ = 2145595132800. Its totient is φ = 350628855808.

The previous prime is 887032327001. The next prime is 887032327061. The reversal of 887032327040 is 40723230788.

887032327040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 887032326982 and 887032327000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141086777 + ... + 141093063.

It is an arithmetic number, because the mean of its divisors is an integer number (16762461975).

Almost surely, 2887032327040 is an apocalyptic number.

887032327040 is a gapful number since it is divisible by the number (80) 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 887032327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072797566400).

887032327040 is an abundant number, since it is smaller than the sum of its proper divisors (1258562805760).

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

887032327040 is a wasteful number, since it uses less digits than its factorization.

887032327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 887032327040 in words is "eight hundred eighty-seven billion, thirty-two million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2477 2848 3560 4954 5696 6287 7120 9908 11392 12385 12574 14240 19816 24770 25148 28480 31435 39632 49540 50296 56960 62870 79264 99080 100592 125740 158528 198160 201184 220453 251480 317056 396320 402368 440906 502960 559543 792640 804736 881812 1005920 1102265 1119086 1585280 1763624 2011840 2204530 2238172 2797715 3527248 4023680 4409060 4476344 5595430 7054496 8818120 8952688 11190860 14108992 15572899 17636240 17905376 22381720 28217984 31145798 35272480 35810752 44763440 62291596 70544960 71621504 77864495 89526880 124583192 141089920 155728990 179053760 249166384 311457980 358107520 498332768 622915960 996665536 1245831920 1385988011 1993331072 2491663840 2771976022 4983327680 5543952044 6929940055 9966655360 11087904088 13859880110 22175808176 27719760220 44351616352 55439520440 88703232704 110879040880 177406465408 221758081760 443516163520 887032327040