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55400668848 = 2433757731751
BaseRepresentation
bin110011100110001000…
…110001111010110000
312021222222010120112000
4303212020301322300
51401430032400343
641241204334000
74000610625660
oct634610617260
9167888116460
1055400668848
112154a262538
12a8a16a4300
1352bb915475
142977acc1a0
151693a92ed3
hexce6231eb0

55400668848 has 160 divisors (see below), whose sum is σ = 182058347520. Its totient is φ = 15800832000.

The previous prime is 55400668823. The next prime is 55400668861. The reversal of 55400668848 is 84886600455.

55400668848 is a `hidden beast` number, since 554 + 0 + 0 + 6 + 6 + 8 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55400668794 and 55400668803.

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 31 ways as a sum of consecutive naturals, for example, 1728973 + ... + 1760723.

It is an arithmetic number, because the mean of its divisors is an integer number (1137864672).

Almost surely, 255400668848 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 55400668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91029173760).

55400668848 is an abundant number, since it is smaller than the sum of its proper divisors (126657678672).

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

55400668848 is a wasteful number, since it uses less digits than its factorization.

55400668848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352 (or 32340 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 55400668848 in words is "fifty-five billion, four hundred million, six hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 577 756 1008 1154 1512 1731 2308 3024 3462 4039 4616 5193 6924 8078 9232 10386 12117 13848 15579 16156 20772 24234 27696 31158 31751 32312 36351 41544 48468 62316 63502 64624 72702 83088 95253 96936 109053 124632 127004 145404 190506 193872 218106 222257 249264 254008 285759 290808 381012 436212 444514 508016 571518 581616 666771 762024 857277 872424 889028 1143036 1333542 1524048 1714554 1744848 1778056 2000313 2286072 2667084 3429108 3556112 4000626 4572144 5334168 6000939 6858216 8001252 10668336 12001878 13716432 16002504 18320327 24003756 32005008 36640654 48007512 54960981 73281308 96015024 109921962 128242289 146562616 164882943 219843924 256484578 293125232 329765886 384726867 439687848 494648829 512969156 659531772 769453734 879375696 989297658 1025938312 1154180601 1319063544 1538907468 1978595316 2051876624 2308361202 2638127088 3077814936 3462541803 3957190632 4616722404 6155629872 6925083606 7914381264 9233444808 13850167212 18466889616 27700334424 55400668848