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55507675478008 = 231323241274135129
BaseRepresentation
bin11001001111011111000110…
…10001110111011111111000
321021112111000100020210012211
430213233203101313133320
524233414204410244013
6314015512445144504
714456203641511555
oct1447574321673770
9237474010223184
1055507675478008
11167607447a82a6
12628591425b134
1324c8474b72870
14d9c82b723a2c
15663d36c5a23d
hex327be34777f8

55507675478008 has 128 divisors (see below), whose sum is σ = 117487456732800. Its totient is φ = 24393782476800.

The previous prime is 55507675477963. The next prime is 55507675478051. The reversal of 55507675478008 is 80087457670555.

It is a super-2 number, since 2×555076754780082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580092188 + ... + 1580127316.

It is an arithmetic number, because the mean of its divisors is an integer number (917870755725).

Almost surely, 255507675478008 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 55507675478008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58743728366400).

55507675478008 is an abundant number, since it is smaller than the sum of its proper divisors (61979781254792).

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

55507675478008 is a wasteful number, since it uses less digits than its factorization.

55507675478008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38153 (or 38149 counting only the distinct ones).

The product of its (nonzero) digits is 329280000, while the sum is 67.

The spelling of 55507675478008 in words is "fifty-five trillion, five hundred seven billion, six hundred seventy-five million, four hundred seventy-eight thousand, eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 241 299 482 598 964 1196 1928 2392 2741 3133 5482 5543 6266 10964 11086 12532 21928 22172 25064 35129 35633 44344 63043 70258 71266 72059 126086 140516 142532 144118 252172 281032 285064 288236 456677 504344 576472 660581 807967 819559 913354 1321162 1615934 1639118 1826708 2642324 3231868 3278236 3653416 5284648 6463736 6556472 8466089 8587553 10503571 15193363 16932178 17175106 21007142 30386726 33864356 34350212 42014284 60773452 67728712 68700424 84028568 96288589 110059157 121546904 192577178 194720047 197513719 220118314 385154356 389440094 395027438 440236628 770308712 778880188 790054876 880473256 1251751657 1557760376 1580109752 2214637547 2503503314 2531360611 4429275094 5007006628 5062721222 8858550188 10014013256 10125442444 17717100376 20250884888 23205549949 28790288111 46411099898 57580576222 92822199796 115161152444 185644399592 230322304888 301672149337 533727648827 603344298674 1067455297654 1206688597348 2134910595308 2413377194696 4269821190616 6938459434751 13876918869502 27753837739004 55507675478008