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20590801108047 = 3517232113102563
BaseRepresentation
bin1001010111010001010110…
…11000101011110001001111
32200220110110022222102200000
410223220223120223301033
510144324430040424142
6111443141120135343
74223431150414632
oct453505330536117
980813408872600
1020590801108047
116619567473995
122386775767553
13b649202040c1
14512858915c19
1525a93233b14c
hex12ba2b62bc4f

20590801108047 has 96 divisors (see below), whose sum is σ = 34094557905408. Its totient is φ = 12352022470656.

The previous prime is 20590801108021. The next prime is 20590801108057. The reversal of 20590801108047 is 74080110809502.

20590801108047 is a `hidden beast` number, since 2 + 0 + 590 + 8 + 0 + 1 + 10 + 8 + 0 + 47 = 666.

It is not a de Polignac number, because 20590801108047 - 26 = 20590801107983 is a prime.

It is a super-2 number, since 2×205908011080472 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20590801107993 and 20590801108011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20590801108057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200711188 + ... + 200813750.

It is an arithmetic number, because the mean of its divisors is an integer number (355151644848).

Almost surely, 220590801108047 is an apocalyptic number.

20590801108047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20590801108047 is a deficient number, since it is larger than the sum of its proper divisors (13503756797361).

20590801108047 is a wasteful number, since it uses less digits than its factorization.

20590801108047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104731 (or 104719 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20590801108047 in words is "twenty trillion, five hundred ninety billion, eight hundred one million, one hundred eight thousand, forty-seven".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 243 391 459 621 1173 1377 1863 2113 3519 4131 5589 6339 10557 19017 31671 35921 48599 57051 95013 102563 107763 145797 171153 307689 323289 437391 513459 826183 923067 969867 1312173 1743571 2358949 2478549 2769201 2909601 3936519 5230713 7076847 7435647 8307603 8728803 11809557 15692139 21230541 22306941 24922809 40102133 47076417 63691623 66920823 120306399 141229251 191074869 200762469 216715619 360919197 423687753 573224607 650146857 1082757591 1950440571 3248272773 3684165523 4984459237 5851321713 9744818319 11052496569 14953377711 17553965139 33157489707 44860133133 52661895417 84735807029 99472469121 134580399399 254207421087 298417407363 403741198197 762622263261 895252222089 1211223594591 2287866789783 6863600369349 20590801108047