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23922961006875 = 35474014999109
BaseRepresentation
bin1010111000001111111111…
…00101111100000100011011
310010201000100021200212102020
411130013333211330010123
511113423211004210000
6122514020115105523
75016243163263360
oct534077745740433
9103630307625366
1023922961006875
1176937418aa947
12282451b2a22a3
131046c05558728
145c9c3db98467
152b74577b2ba0
hex15c1ff97c11b

23922961006875 has 160 divisors (see below), whose sum is σ = 45763101120000. Its totient is φ = 10885881600000.

The previous prime is 23922961006837. The next prime is 23922961006921. The reversal of 23922961006875 is 57860016922932.

It is not a de Polignac number, because 23922961006875 - 211 = 23922961004827 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2626294821 + ... + 2626303929.

It is an arithmetic number, because the mean of its divisors is an integer number (286019382000).

Almost surely, 223922961006875 is an apocalyptic number.

23922961006875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23922961006875 is a deficient number, since it is larger than the sum of its proper divisors (21840140113125).

23922961006875 is an equidigital number, since it uses as much as digits as its factorization.

23922961006875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 23922961006875 in words is "twenty-three trillion, nine hundred twenty-two billion, nine hundred sixty-one million, six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 401 499 525 625 875 1203 1497 1875 2005 2495 2625 2807 3493 4375 6015 7485 8421 9109 10025 10479 12475 13125 14035 17465 27327 30075 37425 42105 45545 50125 52395 62375 63763 70175 87325 136635 150375 187125 191289 200099 210525 227725 250625 261975 311875 318815 350875 436625 600297 683175 751875 935625 956445 1000495 1052625 1138625 1309875 1400693 1594075 1754375 2183125 3001485 3415875 3652709 4202079 4545391 4782225 5002475 5263125 5693125 6549375 7003465 7970375 10958127 13636173 15007425 17079375 18263545 21010395 22726955 23911125 25012375 25568963 31817737 35017325 39851875 54790635 68180865 75037125 76706889 91317725 95453211 105051975 113634775 119555625 125061875 127844815 159088685 175086625 273953175 340904325 375185625 383534445 456588625 477266055 525259875 568173875 639224075 795443425 875433125 1369765875 1704521625 1822701791 1917672225 2282943125 2386330275 2626299375 2840869375 3196120375 3977217125 5468105373 6848829375 8522608125 9113508955 9588361125 11931651375 12758912537 15980601875 19886085625 27340526865 38276737611 45567544775 47941805625 59658256875 63794562685 136702634325 191383688055 227837723875 318972813425 683513171625 956918440275 1139188619375 1594864067125 3417565858125 4784592201375 7974320335625 23922961006875