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2623830247134 = 2375329338629
BaseRepresentation
bin100110001011101000011…
…110000100011011011110
3100021211120020111220000000
4212023220132010123132
5320442101020402014
65325212044115130
7360364650054165
oct46135036043336
910254506456000
102623830247134
1192183a8537a8
12364623535aa6
13160570294215
1490dcb9c23dc
15483b9ea9509
hex262e87846de

2623830247134 has 128 divisors (see below), whose sum is σ = 6034772419200. Its totient is φ = 855157170816.

The previous prime is 2623830247133. The next prime is 2623830247153. The reversal of 2623830247134 is 4317420383262.

2623830247134 is a `hidden beast` number, since 2 + 623 + 8 + 3 + 0 + 2 + 4 + 7 + 13 + 4 = 666.

2623830247134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2623830247134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623830247133) 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, 67904532 + ... + 67943160.

It is an arithmetic number, because the mean of its divisors is an integer number (47146659525).

Almost surely, 22623830247134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623830247134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017386209600).

2623830247134 is an abundant number, since it is smaller than the sum of its proper divisors (3410942172066).

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

2623830247134 is an equidigital number, since it uses as much as digits as its factorization.

2623830247134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38998 (or 38980 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2623830247134 in words is "two trillion, six hundred twenty-three billion, eight hundred thirty million, two hundred forty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 293 318 477 486 586 729 879 954 1431 1458 1758 2187 2637 2862 4293 4374 5274 7911 8586 12879 15529 15822 23733 25758 31058 38629 38637 46587 47466 71199 77258 77274 93174 115887 115911 139761 142398 213597 231774 231822 279522 347661 419283 427194 640791 695322 838566 1042983 1257849 1281582 2047337 2085966 2515698 3128949 3773547 4094674 6142011 6257898 7547094 9386847 11318297 11320641 12284022 18426033 18773694 22636594 22641282 28160541 33954891 33961923 36852066 55278099 56321082 67909782 67923846 84481623 101864673 110556198 165834297 168963246 203729346 305594019 331668594 497502891 599869741 611188038 916782057 995005782 1199739482 1492508673 1799609223 1833564114 2750346171 2985017346 3599218446 4477526019 5398827669 5500692342 8251038513 8955052038 10797655338 16196483007 16502077026 24753115539 32392966014 48589449021 49506231078 97178898042 145768347063 291536694126 437305041189 874610082378 1311915123567 2623830247134