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55555550960 = 24571310175557
BaseRepresentation
bin110011101111010111…
…100110111011110000
312022101202120101211112
4303233113212323300
51402234210112320
641304420132452
74004501251220
oct635727467360
9168352511745
1055555550960
1121619729788
12a925537128
135314a335a0
1429904c8080
1516a2488ec5
hexcef5e6ef0

55555550960 has 160 divisors (see below), whose sum is σ = 160550474112. Its totient is φ = 17408102400.

The previous prime is 55555550959. The next prime is 55555550989. The reversal of 55555550960 is 6905555555.

It is a junction number, because it is equal to n+sod(n) for n = 55555550899 and 55555550908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697502 + ... + 773058.

Almost surely, 255555550960 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 55555550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80275237056).

55555550960 is an abundant number, since it is smaller than the sum of its proper divisors (104994923152).

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

55555550960 is a wasteful number, since it uses less digits than its factorization.

55555550960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75691 (or 75685 counting only the distinct ones).

The product of its (nonzero) digits is 4218750, while the sum is 50.

The spelling of 55555550960 in words is "fifty-five billion, five hundred fifty-five million, five hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 101 104 112 130 140 182 202 208 260 280 364 404 455 505 520 560 707 728 808 910 1010 1040 1313 1414 1456 1616 1820 2020 2626 2828 3535 3640 4040 5252 5656 6565 7070 7280 8080 9191 10504 11312 13130 14140 18382 21008 26260 28280 36764 45955 52520 56560 73528 75557 91910 105040 147056 151114 183820 302228 367640 377785 528899 604456 735280 755570 982241 1057798 1208912 1511140 1964482 2115596 2644495 3022280 3928964 4231192 4911205 5288990 6044560 6875687 7631257 7857928 8462384 9822410 10577980 13751374 15262514 15715856 19644820 21155960 27502748 30525028 34378435 38156285 39289640 42311920 53418799 55005496 61050056 68756870 76312570 78579280 99206341 106837598 110010992 122100112 137513740 152625140 198412682 213675196 267093995 275027480 305250280 396825364 427350392 496031705 534187990 550054960 610500560 694444387 793650728 854700784 992063410 1068375980 1388888774 1587301456 1984126820 2136751960 2777777548 3472221935 3968253640 4273503920 5555555096 6944443870 7936507280 11111110192 13888887740 27777775480 55555550960