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20123809144704 = 2732163107169229
BaseRepresentation
bin1001001001101011100000…
…11111101101111110000000
32122020211001212012201100200
410210311300133231332000
510114202030120112304
6110444430021445200
74144616515261266
oct444656037557600
978224055181320
1020123809144704
1164595066a9a31
122310166b70800
13b2c8896b7985
144d7dd7436436
1524d6ee461e39
hex124d707edf80

20123809144704 has 96 divisors (see below), whose sum is σ = 58263623581800. Its totient is φ = 6666783335424.

The previous prime is 20123809144687. The next prime is 20123809144721. The reversal of 20123809144704 is 40744190832102.

20123809144704 is a `hidden beast` number, since 2 + 0 + 12 + 3 + 80 + 91 + 4 + 470 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20123809144687) and next prime (20123809144721).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201238091447042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20123809144704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53396839 + ... + 53772390.

Almost surely, 220123809144704 is an apocalyptic number.

20123809144704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20123809144704 is an abundant number, since it is smaller than the sum of its proper divisors (38139814437096).

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

20123809144704 is a wasteful number, since it uses less digits than its factorization.

20123809144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107169412 (or 107169397 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 20123809144704 its reverse (40744190832102), we get a palindrome (60867999976806).

The spelling of 20123809144704 in words is "twenty trillion, one hundred twenty-three billion, eight hundred nine million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 288 326 384 489 576 652 978 1152 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 15648 20864 23472 31296 46944 62592 93888 187776 107169229 214338458 321507687 428676916 643015374 857353832 964523061 1286030748 1714707664 1929046122 2572061496 3429415328 3858092244 5144122992 6858830656 7716184488 10288245984 13717661312 15432368976 17468584327 20576491968 30864737952 34937168654 41152983936 52405752981 61729475904 69874337308 104811505962 123458951808 139748674616 157217258943 209623011924 279497349232 314434517886 419246023848 558994698464 628869035772 838492047696 1117989396928 1257738071544 1676984095392 2235978793856 2515476143088 3353968190784 5030952286176 6707936381568 10061904572352 20123809144704