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20628151006770 = 2325442351820411
BaseRepresentation
bin1001011000010110111011…
…00111001111011000110010
32201001000212022101212122100
410230023131213033120302
510200432423124204040
6111512235230121230
74226222545335636
oct454133547173062
981030768355570
1020628151006770
11663339351768a
122391a5a050216
13b682c32211a8
1451459d15cdc6
1525b8bb347b30
hex12c2dd9cf632

20628151006770 has 48 divisors (see below), whose sum is σ = 53645319628992. Its totient is φ = 5499596472480.

The previous prime is 20628151006759. The next prime is 20628151006781. The reversal of 20628151006770 is 7760015182602.

20628151006770 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 8 + 1 + 510 + 0 + 67 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (20628151006759) and next prime (20628151006781).

It is a super-3 number, since 3×206281510067703 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25512136 + ... + 26308275.

It is an arithmetic number, because the mean of its divisors is an integer number (1117610825604).

Almost surely, 220628151006770 is an apocalyptic number.

20628151006770 is an abundant number, since it is smaller than the sum of its proper divisors (33017168622222).

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

20628151006770 is a wasteful number, since it uses less digits than its factorization.

20628151006770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51824847 (or 51824844 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20628151006770 in words is "twenty trillion, six hundred twenty-eight billion, one hundred fifty-one million, six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4423 8846 13269 22115 26538 39807 44230 66345 79614 132690 199035 398070 51820411 103640822 155461233 259102055 310922466 466383699 518204110 777306165 932767398 1554612330 2331918495 4663836990 229201677853 458403355706 687605033559 1146008389265 1375210067118 2062815100677 2292016778530 3438025167795 4125630201354 6876050335590 10314075503385 20628151006770