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870208007552 = 2713314872081
BaseRepresentation
bin11001010100111000111…
…00000110110110000000
310002012011021220001120122
430222130130012312000
5103224141222220202
61503433521355412
7116604365006462
oct14523434066600
93065137801518
10870208007552
11306064808a34
1212079aa98b68
13640a2523000
1430192846132
1517981cde9a2
hexca9c706d80

870208007552 has 128 divisors (see below), whose sum is σ = 1880185910400. Its totient is φ = 401171496960.

The previous prime is 870208007521. The next prime is 870208007563. The reversal of 870208007552 is 255700802078.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418167152 + ... + 418169232.

It is an arithmetic number, because the mean of its divisors is an integer number (14688952425).

Almost surely, 2870208007552 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 870208007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940092955200).

870208007552 is an abundant number, since it is smaller than the sum of its proper divisors (1009977902848).

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

870208007552 is a wasteful number, since it uses less digits than its factorization.

870208007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 44.

The spelling of 870208007552 in words is "eight hundred seventy billion, two hundred eight million, seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1487 1664 2081 2197 2704 2974 4162 4394 5408 5948 8324 8788 10816 11896 16648 17576 19331 21632 23792 27053 33296 35152 38662 47584 54106 66592 70304 77324 95168 108212 133184 140608 154648 190336 216424 251303 266368 281216 309296 351689 432848 502606 618592 703378 865696 1005212 1237184 1406756 1731392 2010424 2474368 2813512 3094447 3266939 3462784 4020848 4571957 5627024 6188894 6533878 8041696 9143914 11254048 12377788 13067756 16083392 18287828 22508096 24755576 26135512 32166784 36575656 40227811 45016192 49511152 52271024 73151312 80455622 99022304 104542048 146302624 160911244 198044608 209084096 292605248 321822488 396089216 418168192 522961543 585210496 643644976 1045923086 1287289952 2091846172 2574579904 4183692344 5149159808 6798500059 8367384688 13597000118 16734769376 27194000236 33469538752 54388000472 66939077504 108776000944 217552001888 435104003776 870208007552