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20401542412632 = 233210122871226713
BaseRepresentation
bin1001010001110000110101…
…01100000011100101011000
32200020100221120100120000100
410220320122230003211120
510133224324324201012
6111220201133335400
74203651145144503
oct450703254034530
980210846316010
1020401542412632
116556277908917
122355b57337560
13b4cb1b344074
1450762320413a
15255a56da58dc
hex128e1ab03958

20401542412632 has 96 divisors (see below), whose sum is σ = 55825693260480. Its totient is φ = 6730232716800.

The previous prime is 20401542412627. The next prime is 20401542412649. The reversal of 20401542412632 is 23621424510402.

20401542412632 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 5 + 4 + 2 + 4 + 12 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16017708 + ... + 17244420.

It is an arithmetic number, because the mean of its divisors is an integer number (581517638130).

Almost surely, 220401542412632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20401542412632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912846630240).

20401542412632 is an abundant number, since it is smaller than the sum of its proper divisors (35424150847848).

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

20401542412632 is a wasteful number, since it uses less digits than its factorization.

20401542412632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229113 (or 1229106 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20401542412632 in words is "twenty trillion, four hundred one billion, five hundred forty-two million, four hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2287 2424 3636 4574 6861 7272 9148 13722 18296 20583 27444 41166 54888 82332 164664 230987 461974 692961 923948 1226713 1385922 1847896 2078883 2453426 2771844 3680139 4157766 4906852 5543688 7360278 8315532 9813704 11040417 14720556 16631064 22080834 29441112 44161668 88323336 123898013 247796026 371694039 495592052 743388078 991184104 1115082117 1486776156 2230164234 2805492631 2973552312 4460328468 5610985262 8416477893 8920656936 11221970524 16832955786 22443941048 25249433679 33665911572 50498867358 67331823144 100997734716 201995469432 283354755731 566709511462 850064267193 1133419022924 1700128534386 2266838045848 2550192801579 3400257068772 5100385603158 6800514137544 10200771206316 20401542412632