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10642633146150 = 23523121110847101
BaseRepresentation
bin1001101011011110111001…
…0111100011111100100110
31101200102111101212112021120
42122313232113203330212
52343332103041134100
634345054055354410
72145622241065125
oct232675627437446
941612441775246
1010642633146150
113433573a5a2a5
12123a744382a06
135c2799545215
1428b16b56dabc
15136c8ca240a0
hex9adee5e3f26

10642633146150 has 96 divisors (see below), whose sum is σ = 27374267268096. Its totient is φ = 2733469200000.

The previous prime is 10642633146149. The next prime is 10642633146161. The reversal of 10642633146150 is 5164133624601.

It is a happy number.

It is a super-3 number, since 3×106426331461503 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442401 + ... + 6404700.

It is an arithmetic number, because the mean of its divisors is an integer number (285148617376).

Almost surely, 210642633146150 is an apocalyptic number.

10642633146150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10642633146150 is an abundant number, since it is smaller than the sum of its proper divisors (16731634121946).

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

10642633146150 is a wasteful number, since it uses less digits than its factorization.

10642633146150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847358 (or 10847353 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10642633146150 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 211 310 422 465 633 775 930 1055 1266 1550 2110 2325 3165 4650 5275 6330 6541 10550 13082 15825 19623 31650 32705 39246 65410 98115 163525 196230 327050 490575 981150 10847101 21694202 32541303 54235505 65082606 108471010 162706515 271177525 325413030 336260131 542355050 672520262 813532575 1008780393 1627065150 1681300655 2017560786 2288738311 3362601310 4577476622 5043901965 6866214933 8406503275 10087803930 11443691555 13732429866 16813006550 22887383110 25219509825 34331074665 50439019650 57218457775 68662149330 70950887641 114436915550 141901775282 171655373325 212852662923 343310746650 354754438205 425705325846 709508876410 1064263314615 1773772191025 2128526629230 3547544382050 5321316573075 10642633146150