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4620111144 = 233111031311297
BaseRepresentation
bin1000100110110000…
…10100110100101000
3102220222112222000120
410103120110310220
533430222024034
62042241003240
7222330203535
oct42330246450
912828488016
104620111144
111a60a28980
12a8b323520
1358823c19c
1431b853d8c
151c0916c49
hex113614d28

4620111144 has 128 divisors (see below), whose sum is σ = 12829639680. Its totient is φ = 1374796800.

The previous prime is 4620111137. The next prime is 4620111149. The reversal of 4620111144 is 4411110264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4620111149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561504 + ... + 3562800.

It is an arithmetic number, because the mean of its divisors is an integer number (100231560).

Almost surely, 24620111144 is an apocalyptic number.

4620111144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4620111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414819840).

4620111144 is an abundant number, since it is smaller than the sum of its proper divisors (8209528536).

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

4620111144 is a wasteful number, since it uses less digits than its factorization.

4620111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4620111144 is about 67971.3994559476. The cubic root of 4620111144 is about 1665.5236646982.

The spelling of 4620111144 in words is "four billion, six hundred twenty million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 131 132 206 262 264 309 393 412 524 618 786 824 1048 1133 1236 1297 1441 1572 2266 2472 2594 2882 3144 3399 3891 4323 4532 5188 5764 6798 7782 8646 9064 10376 11528 13493 13596 14267 15564 17292 26986 27192 28534 31128 34584 40479 42801 53972 57068 80958 85602 107944 114136 133591 148423 161916 169907 171204 267182 296846 323832 339814 342408 400773 445269 509721 534364 593692 679628 801546 890538 1019442 1068728 1187384 1359256 1469501 1603092 1781076 1868977 2038884 2939002 3206184 3562152 3737954 4077768 4408503 5606931 5878004 7475908 8817006 11213862 11756008 14951816 17500421 17634012 22427724 35000842 35268024 44855448 52501263 70001684 105002526 140003368 192504631 210005052 385009262 420010104 577513893 770018524 1155027786 1540037048 2310055572 4620111144