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20700312771375 = 325347735362949
BaseRepresentation
bin1001011010011101010101…
…10010100001101100101111
32201021221010101111100001200
410231032222302201230233
510203123220032141000
6112005331543140543
74234356022246206
oct455165262415457
981257111440050
1020700312771375
116660a539a3476
1223a3a38a44753
13b720534a08a3
14517c86cdc23d
1525d6e1621500
hex12d3aaca1b2f

20700312771375 has 96 divisors (see below), whose sum is σ = 38631774355200. Its totient is φ = 10657250265600.

The previous prime is 20700312771367. The next prime is 20700312771403. The reversal of 20700312771375 is 57317721300702.

20700312771375 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 0 + 3 + 1 + 277 + 1 + 375 = 666.

It is not a de Polignac number, because 20700312771375 - 23 = 20700312771367 is a prime.

It is a super-4 number, since 4×207003127713754 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20700312771375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1178401 + ... + 6541349.

It is an arithmetic number, because the mean of its divisors is an integer number (402414316200).

Almost surely, 220700312771375 is an apocalyptic number.

20700312771375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20700312771375 is a deficient number, since it is larger than the sum of its proper divisors (17931461583825).

20700312771375 is a wasteful number, since it uses less digits than its factorization.

20700312771375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363090 (or 5363077 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 20700312771375 in words is "twenty trillion, seven hundred billion, three hundred twelve million, seven hundred seventy-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 47 73 75 125 141 219 225 235 365 375 423 657 705 1095 1125 1175 1825 2115 3285 3431 3525 5475 5875 9125 10293 10575 16425 17155 17625 27375 30879 51465 52875 82125 85775 154395 257325 428875 771975 1286625 3859875 5362949 16088847 26814745 48266541 80444235 134073725 241332705 252058603 391495277 402221175 670368625 756175809 1174485831 1206663525 1260293015 1957476385 2011105875 2268527427 3523457493 3780879045 5872429155 6033317625 6301465075 9787381925 11342637135 17617287465 18400278019 18904395225 29362145775 31507325375 48936909625 55200834057 56713185675 88086437325 92001390095 94521976125 146810728875 165602502171 276004170285 283565928375 440432186625 460006950475 828012510855 1380020851425 2300034752375 4140062554275 6900104257125 20700312771375