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20759955240672 = 253442111901981
BaseRepresentation
bin1001011100001100011011…
…10000011111011011100000
32201111122001222022200220000
410232012031300133123200
510210112342020200142
6112052554120220000
74241600021003304
oct456061560373340
981448058280800
1020759955240672
11668427a58240a
1223b350300a600
13b77869b38c3b
1451ab040c3d04
1526003279e14c
hex12e18dc1f6e0

20759955240672 has 120 divisors (see below), whose sum is σ = 61068982606632. Its totient is φ = 6918338131200.

The previous prime is 20759955240671. The next prime is 20759955240677. The reversal of 20759955240672 is 27604255995702.

20759955240672 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 9 + 9 + 552 + 4 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×207599552406723 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20759955240671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9963922 + ... + 11865902.

Almost surely, 220759955240672 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 20759955240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30534491303316).

20759955240672 is an abundant number, since it is smaller than the sum of its proper divisors (40309027365960).

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

20759955240672 is a wasteful number, since it uses less digits than its factorization.

20759955240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906214 (or 1906197 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 20759955240672 in words is "twenty trillion, seven hundred fifty-nine billion, nine hundred fifty-five million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4211 8422 12633 16844 25266 33688 37899 50532 67376 75798 101064 113697 134752 151596 202128 227394 303192 341091 404256 454788 606384 682182 909576 1212768 1364364 1819152 1901981 2728728 3638304 3803962 5457456 5705943 7607924 10914912 11411886 15215848 17117829 22823772 30431696 34235658 45647544 51353487 60863392 68471316 91295088 102706974 136942632 154060461 182590176 205413948 273885264 308120922 410827896 547770528 616241844 821655792 1232483688 1643311584 2464967376 4929934752 8009241991 16018483982 24027725973 32036967964 48055451946 64073935928 72083177919 96110903892 128147871856 144166355838 192221807784 216249533757 256295743712 288332711676 384443615568 432499067514 576665423352 648748601271 768887231136 864998135028 1153330846704 1297497202542 1729996270056 2306661693408 2594994405084 3459992540112 5189988810168 6919985080224 10379977620336 20759955240672