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60064044046006 = 2711131012271308589
BaseRepresentation
bin11011010100000110000000…
…00000100101011010110110
321212200001210111120010221011
431222003000000211122312
530333042130233433011
6331425012500342434
715436325001355630
oct1552030000453266
9255601714503834
1060064044046006
1118158021aa7850
1268a09929a4a1a
1327690270ac3c0
1410b9188327a50
156e260c37b621
hex36a0c00256b6

60064044046006 has 128 divisors (see below), whose sum is σ = 122704118369280. Its totient is φ = 21293343936000.

The previous prime is 60064044045937. The next prime is 60064044046007.

It is a happy number.

60064044046006 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 60064044046006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60064044046007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45245560 + ... + 46554148.

It is an arithmetic number, because the mean of its divisors is an integer number (958625924760).

Almost surely, 260064044046006 is an apocalyptic number.

60064044046006 is an abundant number, since it is smaller than the sum of its proper divisors (62640074323274).

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

60064044046006 is a wasteful number, since it uses less digits than its factorization.

60064044046006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308950.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 60064044046006 in words is "sixty trillion, sixty-four billion, forty-four million, forty-six thousand, six", and thus it is an eban number.

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 227 286 454 707 1001 1111 1313 1414 1589 2002 2222 2497 2626 2951 3178 4994 5902 7777 9191 14443 15554 17479 18382 20657 22927 28886 32461 34958 41314 45854 64922 101101 160489 202202 227227 252197 298051 320978 454454 504394 596102 1308589 1765379 2086357 2617178 3278561 3530758 4172714 6557122 9160123 14394479 17011657 18320246 22949927 28788958 34023314 45899854 100761353 119081599 132167489 187128227 201522706 238163198 264334978 297049703 374256454 594099406 925172423 1309897589 1453842379 1718177357 1850344846 2079347921 2619795178 2907684758 3267546733 3436354714 3861646139 4158695842 6535093466 7723292278 10176896653 12027241499 18899950927 20353793306 22872827131 24054482998 27031522973 30002020003 37799901854 42478107529 45745654262 54063045946 60004040006 84956215058 132299656489 210014140021 264599312978 297346752703 330022220033 390026260039 420028280042 594693505406 660044440066 780052520078 2310155540231 2730183820273 4290288860429 4620311080462 5460367640546 8580577720858 30032022023003 60064044046006