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55993737312 = 25322927724203
BaseRepresentation
bin110100001001011111…
…001010000001100000
312100112022002120111200
4310021133022001200
51404133344043222
641420112041200
74021401625362
oct641137120140
9170468076450
1055993737312
1121824006667
12aa28233200
135384755056
1429d278cd32
1516cab91eac
hexd097ca060

55993737312 has 144 divisors (see below), whose sum is σ = 165324453840. Its totient is φ = 17955173376.

The previous prime is 55993737299. The next prime is 55993737313. The reversal of 55993737312 is 21373739955.

55993737312 is a `hidden beast` number, since 5 + 599 + 3 + 7 + 37 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55993737313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301403 + ... + 2325605.

It is an arithmetic number, because the mean of its divisors is an integer number (1148086485).

Almost surely, 255993737312 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 55993737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82662226920).

55993737312 is an abundant number, since it is smaller than the sum of its proper divisors (109330716528).

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

55993737312 is a wasteful number, since it uses less digits than its factorization.

55993737312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24525 (or 24514 counting only the distinct ones).

The product of its digits is 5358150, while the sum is 54.

The spelling of 55993737312 in words is "fifty-five billion, nine hundred ninety-three million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 277 288 348 464 522 554 696 831 928 1044 1108 1392 1662 2088 2216 2493 2784 3324 4176 4432 4986 6648 8033 8352 8864 9972 13296 16066 19944 24099 24203 26592 32132 39888 48198 48406 64264 72297 72609 79776 96396 96812 128528 144594 145218 192792 193624 217827 257056 289188 290436 385584 387248 435654 578376 580872 701887 771168 774496 871308 1156752 1161744 1403774 1742616 2105661 2313504 2323488 2807548 3485232 4211322 5615096 6316983 6704231 6970464 8422644 11230192 12633966 13408462 16845288 20112693 22460384 25267932 26816924 33690576 40225386 50535864 53633848 60338079 67381152 80450772 101071728 107267696 120676158 160901544 194422699 202143456 214535392 241352316 321803088 388845398 482704632 583268097 643606176 777690796 965409264 1166536194 1555381592 1749804291 1930818528 2333072388 3110763184 3499608582 4666144776 6221526368 6999217164 9332289552 13998434328 18664579104 27996868656 55993737312