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148351335264 = 253211311510583
BaseRepresentation
bin1000101000101001101…
…1011011101101100000
3112011220212012200000200
42022022123123231200
54412310420212024
6152052431545200
713501166354346
oct2121233335540
9464825180020
10148351335264
1157a08508a10
122490268b200
1310cb2b37cb2
14727482d996
153cd3ebb2c9
hex228a6dbb60

148351335264 has 144 divisors (see below), whose sum is σ = 475072625664. Its totient is φ = 43504761600.

The previous prime is 148351335259. The next prime is 148351335277. The reversal of 148351335264 is 462533153841.

148351335264 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 51 + 335 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1483513352642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657084 + ... + 853499.

It is an arithmetic number, because the mean of its divisors is an integer number (3299115456).

Almost surely, 2148351335264 is an apocalyptic number.

It is an amenable number.

148351335264 is an abundant number, since it is smaller than the sum of its proper divisors (326721290400).

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

148351335264 is a wasteful number, since it uses less digits than its factorization.

148351335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510641 (or 1510630 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 148351335264 in words is "one hundred forty-eight billion, three hundred fifty-one million, three hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 1510583 3021166 4531749 6042332 9063498 12084664 13595247 16616413 18126996 24169328 27190494 33232826 36253992 46828073 48338656 49849239 54380988 66465652 72507984 93656146 99698478 108761976 132931304 140484219 145015968 149547717 187312292 199396956 217523952 265862608 280968438 299095434 374624584 398793912 421452657 435047904 515108803 531725216 561936876 598190868 749249168 797587824 842905314 1030217606 1123873752 1196381736 1498498336 1545326409 1595175648 1685810628 2060435212 2247747504 2392763472 3090652818 3371621256 4120870424 4495495008 4635979227 4785526944 6181305636 6743242512 8241740848 9271958454 12362611272 13486485024 16483481696 18543916908 24725222544 37087833816 49450445088 74175667632 148351335264