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148459834752 = 2731723988783
BaseRepresentation
bin1000101001000011100…
…1010100110110000000
3112012012102101000100020
42022100321110312000
54413021204203002
6152111305253440
713503654526365
oct2122071246600
9465172330306
10148459834752
1157a63785209
1224932a94280
1310ccc466388
147284dd446c
153cdd79e2bc
hex2290e54d80

148459834752 has 128 divisors (see below), whose sum is σ = 435697781760. Its totient is φ = 44550561792.

The previous prime is 148459834717. The next prime is 148459834753. The reversal of 148459834752 is 257438954841.

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

It is a super-2 number, since 2×1484598347522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148459834753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344248 + ... + 644535.

It is an arithmetic number, because the mean of its divisors is an integer number (3403888920).

Almost surely, 2148459834752 is an apocalyptic number.

148459834752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148459834752 is an abundant number, since it is smaller than the sum of its proper divisors (287237947008).

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

148459834752 is a wasteful number, since it uses less digits than its factorization.

148459834752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988840 (or 988828 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 148459834752 in words is "one hundred forty-eight billion, four hundred fifty-nine million, eight hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2176 2208 2346 2944 3128 3264 4416 4692 6256 6528 8832 9384 12512 18768 25024 37536 50048 75072 150144 988783 1977566 2966349 3955132 5932698 7910264 11865396 15820528 16809311 22742009 23730792 31641056 33618622 45484018 47461584 50427933 63282112 67237244 68226027 90968036 94923168 100855866 126564224 134474488 136452054 181936072 189846336 201711732 268948976 272904108 363872144 379692672 386614153 403423464 537897952 545808216 727744288 773228306 806846928 1075795904 1091616432 1159842459 1455488576 1546456612 1613693856 2151591808 2183232864 2319684918 2910977152 3092913224 3227387712 4366465728 4639369836 6185826448 6454775424 8732931456 9278739672 12371652896 18557479344 24743305792 37114958688 49486611584 74229917376 148459834752