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20554126416 = 2432315978041
BaseRepresentation
bin10011001001000111…
…110001010001010000
31222001110012210210100
4103021013301101100
5314043324021131
613235322132400
71325231122545
oct231107612120
958043183710
1020554126416
1187982a543a
123b97651100
131c274313a5
14dcdb2abcc
158047267e6
hex4c91f1450

20554126416 has 120 divisors (see below), whose sum is σ = 60385777920. Its totient is φ = 6517900800.

The previous prime is 20554126381. The next prime is 20554126427. The reversal of 20554126416 is 61462145502.

20554126416 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 4 + 1 + 2 + 641 + 6 = 666.

It is a super-2 number, since 2×205541264162 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224356 + ... + 302396.

It is an arithmetic number, because the mean of its divisors is an integer number (503214816).

Almost surely, 220554126416 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 20554126416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192888960).

20554126416 is an abundant number, since it is smaller than the sum of its proper divisors (39831651504).

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

20554126416 is a wasteful number, since it uses less digits than its factorization.

20554126416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78145 (or 78136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20554126416 in words is "twenty billion, five hundred fifty-four million, one hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 118 124 144 177 186 236 248 279 354 372 472 496 531 558 708 744 944 1062 1116 1416 1488 1829 2124 2232 2832 3658 4248 4464 5487 7316 8496 10974 14632 16461 21948 29264 32922 43896 65844 78041 87792 131688 156082 234123 263376 312164 468246 624328 702369 936492 1248656 1404738 1872984 2419271 2809476 3745968 4604419 4838542 5618952 7257813 9208838 9677084 11237904 13813257 14515626 18417676 19354168 21773439 27626514 29031252 36835352 38708336 41439771 43546878 55253028 58062504 73670704 82879542 87093756 110506056 116125008 142736989 165759084 174187512 221012112 285473978 331518168 348375024 428210967 570947956 663036336 856421934 1141895912 1284632901 1712843868 2283791824 2569265802 3425687736 5138531604 6851375472 10277063208 20554126416