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20738109645 = 355111981667
BaseRepresentation
bin10011010100000101…
…100111000011001101
31222112021102010100000
4103110011213003031
5314432424002040
613305453354513
71332624011031
oct232405470315
958467363300
1020738109645
1188821387a0
124029198a39
131c5659b2c6
14100a3401c1
1581596a130
hex4d41670cd

20738109645 has 96 divisors (see below), whose sum is σ = 42807098880. Its totient is φ = 9525522240.

The previous prime is 20738109559. The next prime is 20738109653. The reversal of 20738109645 is 54690183702.

20738109645 is a `hidden beast` number, since 207 + 381 + 0 + 9 + 64 + 5 = 666.

It is not a de Polignac number, because 20738109645 - 28 = 20738109389 is a prime.

It is a super-3 number, since 3×207381096453 (a number of 32 digits) contains 333 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 20738109645.

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, 213102 + ... + 294768.

It is an arithmetic number, because the mean of its divisors is an integer number (445907280).

It is a 1-persistent number, because it is pandigital, but 2⋅20738109645 = 41476219290 is not.

Almost surely, 220738109645 is an apocalyptic number.

It is an amenable number.

20738109645 is an abundant number, since it is smaller than the sum of its proper divisors (22068989235).

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

20738109645 is a wasteful number, since it uses less digits than its factorization.

20738109645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81717 (or 81705 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20738109645 in words is "twenty billion, seven hundred thirty-eight million, one hundred nine thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 243 285 297 405 495 513 627 855 891 1045 1215 1485 1539 1881 2565 2673 3135 4455 4617 5643 7695 9405 13365 16929 23085 28215 50787 81667 84645 245001 253935 408335 735003 898337 1225005 1551673 2205009 2695011 3675015 4491685 4655019 6615027 7758365 8085033 11025045 13475055 13965057 17068403 19845081 23275095 24255099 33075135 40425165 41895171 51205209 69825285 72765297 85342015 99225405 121275495 125685513 153615627 209475855 218295891 256026045 363826485 377056539 460846881 628427565 768078135 1091479455 1382540643 1885282695 2304234405 4147621929 6912703215 20738109645