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55610274440 = 235739294363
BaseRepresentation
bin110011110010101000…
…010111001010001000
312022112120112122100002
4303302220113022020
51402342212240230
641314053102132
74006034351000
oct636250271210
9168476478302
1055610274440
11216476062a6
12a93b927948
135323183946
142997891000
1516a7198545
hexcf2a17288

55610274440 has 128 divisors (see below), whose sum is σ = 146106720000. Its totient is φ = 19041490944.

The previous prime is 55610274439. The next prime is 55610274457. The reversal of 55610274440 is 4447201655.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55610274394 and 55610274403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12743699 + ... + 12748061.

It is an arithmetic number, because the mean of its divisors is an integer number (1141458750).

Almost surely, 255610274440 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 55610274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73053360000).

55610274440 is an abundant number, since it is smaller than the sum of its proper divisors (90496445560).

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

55610274440 is a wasteful number, since it uses less digits than its factorization.

55610274440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 55610274440 in words is "fifty-five billion, six hundred ten million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 929 980 1372 1715 1858 1960 2744 3430 3716 4363 4645 6503 6860 7432 8726 9290 13006 13720 17452 18580 21815 26012 30541 32515 34904 37160 43630 45521 52024 61082 65030 87260 91042 122164 130060 152705 174520 182084 213787 227605 244328 260120 305410 318647 364168 427574 455210 610820 637294 855148 910420 1068935 1221640 1274588 1496509 1593235 1710296 1820840 2137870 2549176 2993018 3186470 4053227 4275740 5986036 6372940 7482545 8106454 8551480 11972072 12745880 14965090 16212908 20266135 28372589 29930180 32425816 40532270 56745178 59860360 81064540 113490356 141862945 162129080 198608123 226980712 283725890 397216246 567451780 794432492 993040615 1134903560 1390256861 1588864984 1986081230 2780513722 3972162460 5561027444 6951284305 7944324920 11122054888 13902568610 27805137220 55610274440