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980942342128 = 247259139152567
BaseRepresentation
bin11100100011001001011…
…10000100011111110000
310110202222120002002121121
432101210232010133300
5112032432214422003
62030345542432024
7130604444222200
oct16214456043760
93422876062547
10980942342128
11349019419521
1213a143732614
137166bbc11c8
1435699380400
151a7b35dccbd
hexe464b847f0

980942342128 has 120 divisors (see below), whose sum is σ = 2264536310400. Its totient is φ = 410302456704.

The previous prime is 980942342119. The next prime is 980942342201. The reversal of 980942342128 is 821243249089.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6353301 + ... + 6505867.

It is an arithmetic number, because the mean of its divisors is an integer number (18871135920).

Almost surely, 2980942342128 is an apocalyptic number.

980942342128 is a gapful number since it is divisible by the number (98) 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 980942342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132268155200).

980942342128 is an abundant number, since it is smaller than the sum of its proper divisors (1283593968272).

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

980942342128 is a wasteful number, since it uses less digits than its factorization.

980942342128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152787 (or 152774 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 980942342128 in words is "nine hundred eighty billion, nine hundred forty-two million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 139 196 236 278 392 413 472 556 784 826 944 973 1112 1652 1946 2224 2891 3304 3892 5782 6608 6811 7784 8201 11564 13622 15568 16402 23128 27244 32804 46256 54488 57407 65608 108976 114814 131216 152567 229628 305134 401849 459256 610268 803698 918512 1067969 1220536 1607396 2135938 2441072 3214792 4271876 6429584 7475783 8543752 9001453 14951566 17087504 18002906 21206813 29903132 36005812 42413626 59806264 63010171 72011624 84827252 119612528 126020342 144023248 148447691 169654504 252040684 296895382 339309008 441071197 504081368 593790764 882142394 1008162736 1039133837 1187581528 1251201967 1764284788 2078267674 2375163056 2502403934 3528569576 4156535348 5004807868 7057139152 8313070696 8758413769 10009615736 16626141392 17516827538 20019231472 35033655076 61308896383 70067310152 122617792766 140134620304 245235585532 490471171064 980942342128