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1002076885194 = 2371110343148859
BaseRepresentation
bin11101001010100000110…
…11111101000011001010
310112210112110110010100220
432211100123331003022
5112404223140311234
62044203041210510
7132253253661630
oct16452033750312
93483473403326
101002076885194
11356a84306540
12142261630a36
13736596525a8
14367021d7350
151b0edc64a49
hexe9506fd0ca

1002076885194 has 128 divisors (see below), whose sum is σ = 2528849756160. Its totient is φ = 257149425600.

The previous prime is 1002076885111. The next prime is 1002076885211. The reversal of 1002076885194 is 4915886702001.

1002076885194 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20485137 + ... + 20533995.

It is an arithmetic number, because the mean of its divisors is an integer number (19756638720).

Almost surely, 21002076885194 is an apocalyptic number.

1002076885194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002076885194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264424878080).

1002076885194 is an abundant number, since it is smaller than the sum of its proper divisors (1526772870966).

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

1002076885194 is a wasteful number, since it uses less digits than its factorization.

1002076885194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49416.

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1002076885194 in words is "one trillion, two billion, seventy-six million, eight hundred eighty-five thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 431 462 618 721 862 1133 1293 1442 2163 2266 2586 3017 3399 4326 4741 6034 6798 7931 9051 9482 14223 15862 18102 23793 28446 33187 44393 47586 48859 66374 88786 97718 99561 133179 146577 199122 266358 293154 310751 342013 488323 537449 621502 684026 932253 976646 1026039 1074898 1464969 1612347 1864506 2052078 2929938 3224694 3418261 3762143 5032477 6836522 7524286 10064954 10254783 11286429 15097431 20509566 21058229 22572858 30194862 35227339 42116458 55357247 63174687 70454678 105682017 110714494 126349374 147407603 166071741 211364034 231640519 294815206 332143482 387500729 442222809 463281038 694921557 775001458 884445618 1162502187 1389843114 1621483633 2168997587 2325004374 3242967266 4337995174 4864450899 6506992761 9728901798 13013985522 15182983109 23858973457 30365966218 45548949327 47717946914 71576920371 91097898654 143153840742 167012814199 334025628398 501038442597 1002076885194