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53616076400 = 2452733075981
BaseRepresentation
bin110001111011110001…
…000110011001110000
312010101121002212220102
4301323301012121300
51334301203421100
640344134331532
73605441062355
oct617361063160
9163347085812
1053616076400
1120813971847
12a483ab9ba8
135095c8b3c3
142848aa662c
1515dc07ecd5
hexc7bc46670

53616076400 has 120 divisors (see below), whose sum is σ = 131024415984. Its totient is φ = 21080217600.

The previous prime is 53616076379. The next prime is 53616076403. The reversal of 53616076400 is 467061635.

It is a happy number.

53616076400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53616076403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8961410 + ... + 8967390.

Almost surely, 253616076400 is an apocalyptic number.

53616076400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53616076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65512207992).

53616076400 is an abundant number, since it is smaller than the sum of its proper divisors (77408339584).

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

53616076400 is a wasteful number, since it uses less digits than its factorization.

53616076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 53616076400 in words is "fifty-three billion, six hundred sixteen million, seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 307 365 400 584 614 730 1168 1228 1460 1535 1825 2456 2920 3070 3650 4912 5840 5981 6140 7300 7675 11962 12280 14600 15350 22411 23924 24560 29200 29905 30700 44822 47848 59810 61400 89644 95696 112055 119620 122800 149525 179288 224110 239240 299050 358576 436613 448220 478480 560275 598100 873226 896440 1120550 1196200 1746452 1792880 1836167 2183065 2241100 2392400 3492904 3672334 4366130 4482200 6985808 7344668 8732260 8964400 9180835 10915325 14689336 17464520 18361670 21830650 29378672 34929040 36723340 43661300 45904175 73446680 87322600 91808350 134040191 146893360 174645200 183616700 268080382 367233400 536160764 670200955 734466800 1072321528 1340401910 2144643056 2680803820 3351004775 5361607640 6702009550 10723215280 13404019100 26808038200 53616076400