Search a number
-
+
55808078352 = 24313317339521
BaseRepresentation
bin110011111110011010…
…111011001000010000
312100001100202010021220
4303332122323020100
51403243332001402
641345440445040
74013655560535
oct637632731020
9170040663256
1055808078352
1121739229304
12a996019780
13535514c490
1429b5c60d8c
1516b971bdbc
hexcfe6bb210

55808078352 has 160 divisors (see below), whose sum is σ = 162468934656. Its totient is φ = 16389734400.

The previous prime is 55808078303. The next prime is 55808078353. The reversal of 55808078352 is 25387080855.

It is a happy number.

It is a super-2 number, since 2×558080783522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55808078295 and 55808078304.

It is not an unprimeable number, because it can be changed into a prime (55808078353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392352 + ... + 1431872.

Almost surely, 255808078352 is an apocalyptic number.

55808078352 is a gapful number since it is divisible by the number (52) 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 55808078352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81234467328).

55808078352 is an abundant number, since it is smaller than the sum of its proper divisors (106660856304).

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

55808078352 is a wasteful number, since it uses less digits than its factorization.

55808078352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39649 (or 39643 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 55808078352 in words is "fifty-five billion, eight hundred eight million, seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 73 78 93 104 124 146 156 186 208 219 248 292 312 372 403 438 496 584 624 744 806 876 949 1168 1209 1488 1612 1752 1898 2263 2418 2847 3224 3504 3796 4526 4836 5694 6448 6789 7592 9052 9672 11388 13578 15184 18104 19344 22776 27156 29419 36208 39521 45552 54312 58838 79042 88257 108624 117676 118563 158084 176514 235352 237126 316168 353028 470704 474252 513773 632336 706056 948504 1027546 1225151 1412112 1541319 1897008 2055092 2450302 2885033 3082638 3675453 4110184 4900604 5770066 6165276 7350906 8220368 8655099 9801208 11540132 12330552 14701812 15926963 17310198 19602416 23080264 24661104 29403624 31853926 34620396 37505429 46160528 47780889 58807248 63707852 69240792 75010858 89436023 95561778 112516287 127415704 138481584 150021716 178872046 191123556 225032574 254831408 268308069 300043432 357744092 382247112 450065148 536616138 600086864 715488184 764494224 900130296 1073232276 1162668299 1430976368 1800260592 2146464552 2325336598 3488004897 4292929104 4650673196 6976009794 9301346392 13952019588 18602692784 27904039176 55808078352