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20307749445756 = 22327355311397117
BaseRepresentation
bin1001001111000010001000…
…01100010010000001111100
32122220101211222100011111100
410213201010030102001330
510130210232324231011
6111105130140453100
74164120651113463
oct447410414220174
978811758304440
1020307749445756
11651a51715a663
12233b94024a190
13b4402177a9b6
14502c866859da
152533b7a4bd56
hex12784431207c

20307749445756 has 72 divisors (see below), whose sum is σ = 52046121529584. Its totient is φ = 6675308478720.

The previous prime is 20307749445713. The next prime is 20307749445757. The reversal of 20307749445756 is 65754494770302.

20307749445756 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 77 + 494 + 4 + 5 + 75 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20307749445693 and 20307749445702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20307749445757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13836910 + ... + 15234026.

It is an arithmetic number, because the mean of its divisors is an integer number (722862799022).

Almost surely, 220307749445756 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 20307749445756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26023060764792).

20307749445756 is an abundant number, since it is smaller than the sum of its proper divisors (31738372083828).

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

20307749445756 is a wasteful number, since it uses less digits than its factorization.

20307749445756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402731 (or 1402726 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 20307749445756 in words is "twenty trillion, three hundred seven billion, seven hundred forty-nine million, four hundred forty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5531 11062 16593 22124 33186 49779 66372 99558 199116 403763 807526 1211289 1397117 1615052 2422578 2794234 3633867 4191351 4845156 5588468 7267734 8382702 12574053 14535468 16765404 25148106 50296212 101989541 203979082 305968623 407958164 611937246 917905869 1223874492 1835811738 3671623476 7727454127 15454908254 23182362381 30909816508 46364724762 69547087143 92729449524 139094174286 278188348572 564104151271 1128208302542 1692312453813 2256416605084 3384624907626 5076937361439 6769249815252 10153874722878 20307749445756