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55204636416 = 2831573531297
BaseRepresentation
bin110011011010011100…
…111110011100000000
312021111022021002120120
4303122130332130000
51401024341331131
641205522540240
73663010444566
oct633234763400
9167438232516
1055204636416
112145963a466
12a847b07680
13528a11a047
142959a5da36
15168176e496
hexcda73e700

55204636416 has 144 divisors (see below), whose sum is σ = 148393860384. Its totient is φ = 18218483712.

The previous prime is 55204636397. The next prime is 55204636423. The reversal of 55204636416 is 61463640255.

55204636416 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42562680 + ... + 42563976.

Almost surely, 255204636416 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 55204636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74196930192).

55204636416 is an abundant number, since it is smaller than the sum of its proper divisors (93189223968).

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

55204636416 is a wasteful number, since it uses less digits than its factorization.

55204636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 55204636416 in words is "fifty-five billion, two hundred four million, six hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 353 384 471 628 706 768 942 1059 1256 1297 1412 1884 2118 2512 2594 2824 3768 3891 4236 5024 5188 5648 7536 7782 8472 10048 10376 11296 15072 15564 16944 20096 20752 22592 30144 31128 33888 40192 41504 45184 55421 60288 62256 67776 83008 90368 110842 120576 124512 135552 166016 166263 203629 221684 249024 271104 332032 332526 407258 443368 457841 498048 610887 665052 814516 886736 915682 996096 1221774 1330104 1373523 1629032 1773472 1831364 2443548 2660208 2747046 3258064 3546944 3662728 4887096 5320416 5494092 6516128 7093888 7325456 9774192 10640832 10988184 13032256 14187776 14650912 19548384 21281664 21976368 26064512 29301824 39096768 42563328 43952736 52129024 58603648 71881037 78193536 87905472 117207296 143762074 156387072 175810944 215643111 287524148 351621888 431286222 575048296 862572444 1150096592 1725144888 2300193184 3450289776 4600386368 6900579552 9200772736 13801159104 18401545472 27602318208 55204636416