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59414442948 = 22337247238877
BaseRepresentation
bin110111010101011000…
…000111001111000100
312200100200202102111000
4313111120013033010
51433140044133243
643143345413300
74202226301200
oct672530071704
9180320672430
1059414442948
11232199a4413
12b62193a230
1357ab34a523
142c38bc9b00
15182b1395d3
hexdd56073c4

59414442948 has 144 divisors (see below), whose sum is σ = 182999658240. Its totient is φ = 16614303552.

The previous prime is 59414442947. The next prime is 59414442949. The reversal of 59414442948 is 84924441495.

59414442948 is a `hidden beast` number, since 594 + 1 + 4 + 4 + 4 + 2 + 9 + 48 = 666.

59414442948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59414442947) and next prime (59414442949).

It is a super-2 number, since 2×594144429482 (a number of 22 digits) contains 22 as substring.

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 = 59414442894 and 59414442903.

It is not an unprimeable number, because it can be changed into a prime (59414442943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129286 + ... + 368162.

It is an arithmetic number, because the mean of its divisors is an integer number (1270830960).

Almost surely, 259414442948 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 59414442948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91499829120).

59414442948 is an abundant number, since it is smaller than the sum of its proper divisors (123585215292).

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

59414442948 is a wasteful number, since it uses less digits than its factorization.

59414442948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238951 (or 238936 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 59414442948 in words is "fifty-nine billion, four hundred fourteen million, four hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 49 54 63 84 94 98 108 126 141 147 188 189 196 252 282 294 329 378 423 441 564 588 658 756 846 882 987 1269 1316 1323 1692 1764 1974 2303 2538 2646 2961 3948 4606 5076 5292 5922 6909 8883 9212 11844 13818 17766 20727 27636 35532 41454 62181 82908 124362 238877 248724 477754 716631 955508 1433262 1672139 2149893 2866524 3344278 4299786 5016417 6449679 6688556 8599572 10032834 11227219 11704973 12899358 15049251 20065668 22454438 23409946 25798716 30098502 33681657 35114919 44908876 45147753 46819892 60197004 67363314 70229838 78590533 90295506 101044971 105344757 134726628 140459676 157181066 180591012 202089942 210689514 235771599 303134913 314362132 316034271 404179884 421379028 471543198 550133731 606269826 632068542 707314797 943086396 1100267462 1212539652 1264137084 1414629594 1650401193 2121944391 2200534924 2829259188 3300802386 4243888782 4951203579 6601604772 8487777564 9902407158 14853610737 19804814316 29707221474 59414442948