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830020096962 = 2327172101225683
BaseRepresentation
bin11000001010000010000…
…11011001001111000010
32221100102112020200012200
430011001003121033002
5102044340121100322
61433150031134030
7113652446262420
oct14050103311702
92840375220180
10830020096962
112a0011784991
12114a44074316
136036955a064
142c25d322110
15168cda8a8ac
hexc1410d93c2

830020096962 has 144 divisors (see below), whose sum is σ = 2204925458112. Its totient is φ = 220987814400.

The previous prime is 830020096909. The next prime is 830020096967. The reversal of 830020096962 is 269690020038.

It is a super-2 number, since 2×8300200969622 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830020096967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3564973 + ... + 3790655.

It is an arithmetic number, because the mean of its divisors is an integer number (15311982348).

Almost surely, 2830020096962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830020096962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102462729056).

830020096962 is an abundant number, since it is smaller than the sum of its proper divisors (1374905361150).

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

830020096962 is a wasteful number, since it uses less digits than its factorization.

830020096962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225833 (or 225813 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 830020096962 in words is "eight hundred thirty billion, twenty million, ninety-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 289 303 306 357 578 606 707 714 867 909 1071 1414 1717 1734 1818 2023 2121 2142 2601 3434 4046 4242 5151 5202 6069 6363 10302 12019 12138 12726 15453 18207 24038 29189 30906 36057 36414 58378 72114 87567 108171 175134 204323 216342 225683 262701 408646 451366 525402 612969 677049 1225938 1354098 1579781 1838907 2031147 3159562 3677814 3836611 4062294 4739343 7673222 9478686 11509833 14218029 22793983 23019666 26856277 28436058 34529499 45587966 53712554 65222387 68381949 69058998 80568831 130444774 136763898 159557881 161137662 195667161 205145847 241706493 319115762 387497711 391334322 410291694 456556709 478673643 483412986 587001483 774995422 913113418 957347286 1162493133 1174002966 1369670127 1436020929 2324986266 2712483977 2739340254 2872041858 3487479399 4109010381 5424967954 6587461087 6974958798 8137451931 8218020762 13174922174 16274903862 19762383261 24412355793 39524766522 46112227609 48824711586 59287149783 92224455218 118574299566 138336682827 276673365654 415010048481 830020096962