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968827125408 = 253234110701961
BaseRepresentation
bin11100001100100101001…
…10001011111010100000
310102121201020011022122020
432012102212023322200
5111333124221003113
62021023435341440
7126665303455512
oct16062246137240
93377636138566
10968827125408
1134397172291a
121379222b1880
137048ac18a0c
1434c6a32dbb2
151a304bae023
hexe19298bea0

968827125408 has 96 divisors (see below), whose sum is σ = 2718469579392. Its totient is φ = 301367193600.

The previous prime is 968827125353. The next prime is 968827125437. The reversal of 968827125408 is 804521728869.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5260453 + ... + 5441508.

It is an arithmetic number, because the mean of its divisors is an integer number (28317391452).

Almost surely, 2968827125408 is an apocalyptic number.

It is an amenable number.

968827125408 is an abundant number, since it is smaller than the sum of its proper divisors (1749642453984).

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

968827125408 is a wasteful number, since it uses less digits than its factorization.

968827125408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702038 (or 10702030 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 968827125408 in words is "nine hundred sixty-eight billion, eight hundred twenty-seven million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 15088 22632 30176 45264 90528 10701961 21403922 32105883 42807844 64211766 85615688 128423532 171231376 246145103 256847064 342462752 438780401 492290206 513694128 738435309 877560802 984580412 1027388256 1316341203 1476870618 1755121604 1969160824 2632682406 2953741236 3510243208 3938321648 5265364812 5907482472 7020486416 7876643296 10091949223 10530729624 11814964944 14040972832 20183898446 21061459248 23629929888 30275847669 40367796892 42122918496 60551695338 80735593784 121103390676 161471187568 242206781352 322942375136 484413562704 968827125408