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55643604112080 = 24325761101554249
BaseRepresentation
bin11001010011011100010010…
…10000011101001011010000
321022000110212102221211212100
430221232021100131023100
524243131100123041310
6314202152511400400
714502055245031425
oct1451561120351320
9238013772854770
1055643604112080
1116803357993a06
1262a812a523100
1325082280b699a
14da5244341d4c
1566764030aec0
hex329b8941d2d0

55643604112080 has 120 divisors (see below), whose sum is σ = 187115330493000. Its totient is φ = 14818795868160.

The previous prime is 55643604112073. The next prime is 55643604112093. The reversal of 55643604112080 is 8021140634655.

55643604112080 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 3 + 604 + 11 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 55643603167296 = 972^2 + 7459464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 50229205 + ... + 51325044.

It is an arithmetic number, because the mean of its divisors is an integer number (1559294420775).

Almost surely, 255643604112080 is an apocalyptic number.

It is an amenable number.

55643604112080 is an abundant number, since it is smaller than the sum of its proper divisors (131471726380920).

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

55643604112080 is a wasteful number, since it uses less digits than its factorization.

55643604112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101555029 (or 101555020 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55643604112080 in words is "fifty-five trillion, six hundred forty-three billion, six hundred four million, one hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 761 1522 2283 3044 3805 4566 6088 6849 7610 9132 11415 12176 13698 15220 18264 22830 27396 30440 34245 36528 45660 54792 60880 68490 91320 109584 136980 182640 273960 547920 101554249 203108498 304662747 406216996 507771245 609325494 812433992 913988241 1015542490 1218650988 1523313735 1624867984 1827976482 2031084980 2437301976 3046627470 3655952964 4062169960 4569941205 4874603952 6093254940 7311905928 8124339920 9139882410 12186509880 14623811856 18279764820 24373019760 36559529640 73119059280 77282783489 154565566978 231848350467 309131133956 386413917445 463696700934 618262267912 695545051401 772827834890 927393401868 1159241752335 1236524535824 1391090102802 1545655669780 1854786803736 2318483504670 2782180205604 3091311339560 3477725257005 3709573607472 4636967009340 5564360411208 6182622679120 6955450514010 9273934018680 11128720822416 13910901028020 18547868037360 27821802056040 55643604112080