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148962711424 = 274147738273
BaseRepresentation
bin1000101010111011011…
…1101001011110000000
3112020111110121210110011
42022232313221132000
54420033423231144
6152233231514304
713522302104212
oct2125667513600
9466443553404
10148962711424
11581a162696a
1224a53388994
131107c6b7937
1472d1ad85b2
153d1c9d4a34
hex22aede9780

148962711424 has 128 divisors (see below), whose sum is σ = 314758846080. Its totient is φ = 70135971840.

The previous prime is 148962711419. The next prime is 148962711427. The reversal of 148962711424 is 424117269841.

148962711424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148962711427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18001752 + ... + 18010024.

It is an arithmetic number, because the mean of its divisors is an integer number (2459053485).

Almost surely, 2148962711424 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 148962711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157379423040).

148962711424 is an abundant number, since it is smaller than the sum of its proper divisors (165796134656).

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

148962711424 is an equidigital number, since it uses as much as digits as its factorization.

148962711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8436 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

It can be divided in two parts, 1489627 and 11424, that added together give a palindrome (1501051).

The spelling of 148962711424 in words is "one hundred forty-eight billion, nine hundred sixty-two million, seven hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 47 64 73 82 94 128 146 164 188 292 328 376 584 656 752 1168 1312 1504 1927 2336 2624 2993 3008 3431 3854 4672 5248 5986 6016 6862 7708 8273 9344 11972 13724 15416 16546 23944 27448 30832 33092 47888 54896 61664 66184 95776 109792 123328 132368 140671 191552 219584 246656 264736 281342 339193 383104 388831 439168 529472 562684 603929 678386 777662 1058944 1125368 1207858 1356772 1555324 2250736 2415716 2713544 3110648 4501472 4831432 5427088 6221296 9002944 9662864 10854176 12442592 15942071 18005888 19325728 21708352 24761089 24885184 28384663 31884142 38651456 43416704 49522178 49770368 56769326 63768284 77302912 99044356 113538652 127536568 198088712 227077304 255073136 396177424 454154608 510146272 792354848 908309216 1020292544 1163771183 1584709696 1816618432 2040585088 2327542366 3169419392 3633236864 4655084732 9310169464 18620338928 37240677856 74481355712 148962711424