Search a number
-
+
20351588873088 = 273114818084487
BaseRepresentation
bin1001010000010011110010…
…01110011011001110000000
32200001121000012221211011010
410220021321032123032000
510131420023222414323
6111141220231520520
74200232226105124
oct450117116331600
980047005854133
1020351588873088
116537073399240
122348335b29140
13b481ba0c0645
14505044b29584
152545d163bc93
hex12827939b380

20351588873088 has 64 divisors (see below), whose sum is σ = 58973354133120. Its totient is φ = 6167148142080.

The previous prime is 20351588873047. The next prime is 20351588873131. The reversal of 20351588873088 is 88037888515302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2409038020 + ... + 2409046467.

It is an arithmetic number, because the mean of its divisors is an integer number (921458658330).

Almost surely, 220351588873088 is an apocalyptic number.

It is an amenable number.

20351588873088 is an abundant number, since it is smaller than the sum of its proper divisors (38621765260032).

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

20351588873088 is a wasteful number, since it uses less digits than its factorization.

20351588873088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818084515 (or 4818084503 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 20351588873088 in words is "twenty trillion, three hundred fifty-one billion, five hundred eighty-eight million, eight hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4818084487 9636168974 14454253461 19272337948 28908506922 38544675896 52998929357 57817013844 77089351792 105997858714 115634027688 154178703584 158996788071 211995717428 231268055376 308357407168 317993576142 423991434856 462536110752 616714814336 635987152284 847982869712 925072221504 1271974304568 1695965739424 1850144443008 2543948609136 3391931478848 5087897218272 6783862957696 10175794436544 20351588873088