Search a number
-
+
149152386528 = 2534139413981
BaseRepresentation
bin1000101011101000101…
…1001100110111100000
3112020222200112021210000
42022322023030313200
54420431002332103
6152304125140000
713530064236645
oct2127213146740
9466880467700
10149152386528
11582896a7652
1224aa69ba600
13110aca98522
14730cd8ddcc
153d2e49eaa3
hex22ba2ccde0

149152386528 has 120 divisors (see below), whose sum is σ = 441809870040. Its totient is φ = 49359663360.

The previous prime is 149152386511. The next prime is 149152386589. The reversal of 149152386528 is 825683251941.

149152386528 is a `hidden beast` number, since 1 + 4 + 9 + 15 + 23 + 86 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153298 + ... + 567278.

It is an arithmetic number, because the mean of its divisors is an integer number (3681748917).

Almost surely, 2149152386528 is an apocalyptic number.

149152386528 is a gapful number since it is divisible by the number (18) 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 149152386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220904935020).

149152386528 is an abundant number, since it is smaller than the sum of its proper divisors (292657483512).

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

149152386528 is a wasteful number, since it uses less digits than its factorization.

149152386528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414142 (or 414125 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 149152386528 in words is "one hundred forty-nine billion, one hundred fifty-two million, three hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 278 288 324 417 432 556 648 834 864 1112 1251 1296 1668 2224 2502 2592 3336 3753 4448 5004 6672 7506 10008 11259 13344 15012 20016 22518 30024 40032 45036 60048 90072 120096 180144 360288 413981 827962 1241943 1655924 2483886 3311848 3725829 4967772 6623696 7451658 9935544 11177487 13247392 14903316 19871088 22354974 29806632 33532461 39742176 44709948 57543359 59613264 67064922 89419896 115086718 119226528 134129844 172630077 178839792 230173436 268259688 345260154 357679584 460346872 517890231 536519376 690520308 920693744 1035780462 1073038752 1381040616 1553670693 1841387488 2071560924 2762081232 3107341386 4143121848 4661012079 5524162464 6214682772 8286243696 9322024158 12429365544 16572487392 18644048316 24858731088 37288096632 49717462176 74576193264 149152386528