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20674160712 = 2334535231151
BaseRepresentation
bin10011010000010001…
…101010100001001000
31222100211002011220000
4103100101222201020
5314320041120322
613255251003000
71331216316012
oct232021524110
958324064800
1020674160712
11884a02aa37
12400b899460
131c4626aaba
141001a551b2
158100373ac
hex4d046a848

20674160712 has 160 divisors (see below), whose sum is σ = 59163540480. Its totient is φ = 6742569600.

The previous prime is 20674160707. The next prime is 20674160753. The reversal of 20674160712 is 21706147602.

20674160712 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 41 + 607 + 1 + 2 = 666.

It is a super-2 number, since 2×206741607122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17961337 + ... + 17962487.

It is an arithmetic number, because the mean of its divisors is an integer number (369772128).

Almost surely, 220674160712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20674160712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581770240).

20674160712 is an abundant number, since it is smaller than the sum of its proper divisors (38489379768).

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

20674160712 is a wasteful number, since it uses less digits than its factorization.

20674160712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20674160712 in words is "twenty billion, six hundred seventy-four million, one hundred sixty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 523 636 648 954 1046 1151 1272 1431 1569 1908 2092 2302 2862 3138 3453 3816 4184 4293 4604 4707 5724 6276 6906 8586 9208 9414 10359 11448 12552 13812 14121 17172 18828 20718 27624 27719 28242 31077 34344 37656 41436 42363 55438 56484 61003 62154 82872 83157 84726 93231 110876 112968 122006 124308 166314 169452 183009 186462 221752 244012 248616 249471 332628 338904 366018 372924 488024 498942 549027 601973 665256 732036 745848 748413 997884 1098054 1203946 1464072 1496826 1647081 1805919 1995768 2196108 2245239 2407892 2993652 3294162 3611838 4392216 4490478 4815784 4941243 5417757 5987304 6588324 7223676 8980956 9882486 10835514 13176648 14447352 16253271 17961912 19764972 21671028 31904569 32506542 39529944 43342056 48759813 63809138 65013084 95713707 97519626 127618276 130026168 191427414 195039252 255236552 287141121 382854828 390078504 574282242 765709656 861423363 1148564484 1722846726 2297128968 2584270089 3445693452 5168540178 6891386904 10337080356 20674160712