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606056106006 = 2321329229389999
BaseRepresentation
bin10001101000110111100…
…00100100100000010110
32010221100002111010010200
420310123300210200112
534412200330343011
61142230205401330
761533430621521
oct10643360444026
92127302433120
10606056106006
1121403296568a
129955ab69246
13451c653b9a0
14214946d9bb8
1510b71889856
hex8d1bc24816

606056106006 has 96 divisors (see below), whose sum is σ = 1469286000000. Its totient is φ = 179261800704.

The previous prime is 606056105983. The next prime is 606056106011. The reversal of 606056106006 is 600601650606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358995 + ... + 1748993.

It is an arithmetic number, because the mean of its divisors is an integer number (15305062500).

Almost surely, 2606056106006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606056106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734643000000).

606056106006 is an abundant number, since it is smaller than the sum of its proper divisors (863229893994).

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

606056106006 is a wasteful number, since it uses less digits than its factorization.

606056106006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390278 (or 390275 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 606056106006 in words is "six hundred six billion, fifty-six million, one hundred six thousand, six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 229 234 261 377 458 522 687 754 1131 1374 2061 2262 2977 3393 4122 5954 6641 6786 8931 13282 17862 19923 26793 39846 53586 59769 86333 119538 172666 258999 389999 517998 776997 779998 1169997 1553994 2339994 3509991 5069987 7019982 10139974 11309971 15209961 22619942 30419922 33929913 45629883 67859826 89309771 91259766 101789739 147029623 178619542 203579478 267929313 294059246 441088869 535858626 803787939 882177738 1161027023 1323266607 1607575878 2322054046 2589983359 2646533214 3483081069 5179966718 6966162138 7769950077 10449243207 15539900154 20898486414 23309850231 33669783667 46619700462 67339567334 101009351001 202018702002 303028053003 606056106006