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55756342440 = 23335379136217
BaseRepresentation
bin110011111011010101…
…100100010010101000
312022220202101122222000
4303323111210102220
51403142110424230
641340351531000
74012460043141
oct637325442250
9168822348860
1055756342440
1121712002357
12a980829a60
135347506c06
1429ad034ac8
1516b4decb60
hexcfb5644a8

55756342440 has 128 divisors (see below), whose sum is σ = 186346224000. Its totient is φ = 14829018624.

The previous prime is 55756342429. The next prime is 55756342459. The reversal of 55756342440 is 4424365755.

55756342440 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 634 + 2 + 4 + 4 + 0 = 666.

55756342440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 341212 + ... + 477428.

It is an arithmetic number, because the mean of its divisors is an integer number (1455829875).

Almost surely, 255756342440 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 55756342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93173112000).

55756342440 is an abundant number, since it is smaller than the sum of its proper divisors (130589881560).

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

55756342440 is a wasteful number, since it uses less digits than its factorization.

55756342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136616 (or 136606 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 55756342440 in words is "fifty-five billion, seven hundred fifty-six million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 379 540 758 1080 1137 1516 1895 2274 3032 3411 3790 4548 5685 6822 7580 9096 10233 11370 13644 15160 17055 20466 22740 27288 34110 40932 45480 51165 68220 81864 102330 136217 136440 204660 272434 408651 409320 544868 681085 817302 1089736 1225953 1362170 1634604 2043255 2451906 2724340 3269208 3677859 4086510 4903812 5448680 6129765 7355718 8173020 9807624 12259530 14711436 16346040 18389295 24519060 29422872 36778590 49038120 51626243 73557180 103252486 147114360 154878729 206504972 258131215 309757458 413009944 464636187 516262430 619514916 774393645 929272374 1032524860 1239029832 1393908561 1548787290 1858544748 2065049720 2323180935 2787817122 3097574580 3717089496 4646361870 5575634244 6195149160 6969542805 9292723740 11151268488 13939085610 18585447480 27878171220 55756342440