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55909268676 = 22323147222679
BaseRepresentation
bin110100000100011100…
…111011110011000100
312100022102011010022200
4310010130323303010
51404000233044201
641403453354500
74016324641212
oct640434736304
9170272133280
1055909268676
1121790363078
12aa03a98a30
1353700bba01
1429c5481cb2
1516c3559386
hexd0473bcc4

55909268676 has 108 divisors (see below), whose sum is σ = 149061669120. Its totient is φ = 17650740960.

The previous prime is 55909268663. The next prime is 55909268683. The reversal of 55909268676 is 67686290955.

55909268676 is a `hidden beast` number, since 559 + 0 + 9 + 2 + 6 + 8 + 6 + 76 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2453905 + ... + 2476583.

It is an arithmetic number, because the mean of its divisors is an integer number (1380200640).

Almost surely, 255909268676 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 55909268676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74530834560).

55909268676 is an abundant number, since it is smaller than the sum of its proper divisors (93152400444).

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

55909268676 is a wasteful number, since it uses less digits than its factorization.

55909268676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814 (or 22762 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 55909268676 in words is "fifty-five billion, nine hundred nine million, two hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2209 2914 4371 4418 5828 6627 8742 8836 13113 13254 17484 19881 22679 26226 26508 39762 45358 52452 68037 68479 79524 90716 136074 136958 204111 205437 272148 273916 408222 410874 616311 703049 816444 821748 1065913 1232622 1406098 2109147 2131826 2465244 2812196 3197739 4218294 4263652 6327441 6395478 8436588 9593217 12654882 12790956 19186434 25309764 33043303 38372868 50097911 66086606 99129909 100195822 132173212 150293733 198259818 200391644 297389727 300587466 396519636 450881199 594779454 601174932 901762398 1189558908 1553035241 1803524796 3106070482 4659105723 6212140964 9318211446 13977317169 18636422892 27954634338 55909268676