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148356653841 = 331119313722921
BaseRepresentation
bin1000101000101010111…
…1101110001100010001
3112011221020012212202000
42022022233232030101
54412313300410331
6152053141544213
713501262515404
oct2121257561421
9464836185660
10148356653841
1157a10510930
1224904415069
1310cb3c7aa96
147275415d3b
153cd46bc0e6
hex228abee311

148356653841 has 128 divisors (see below), whose sum is σ = 267582259200. Its totient is φ = 80201664000.

The previous prime is 148356653839. The next prime is 148356653857.

It is a happy number.

148356653841 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 5 + 66 + 538 + 41 = 666.

148356653841 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 148356653841 - 21 = 148356653839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148356653441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6461061 + ... + 6483981.

It is an arithmetic number, because the mean of its divisors is an integer number (2090486400).

Almost surely, 2148356653841 is an apocalyptic number.

148356653841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148356653841 is a deficient number, since it is larger than the sum of its proper divisors (119225605359).

148356653841 is a wasteful number, since it uses less digits than its factorization.

148356653841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23028 (or 23022 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 148356653841 in words is "one hundred forty-eight billion, three hundred fifty-six million, six hundred fifty-three thousand, eight hundred forty-one".

Divisors: 1 3 9 11 19 27 31 33 37 57 93 99 111 171 209 279 297 333 341 407 513 589 627 703 837 999 1023 1147 1221 1767 1881 2109 3069 3441 3663 5301 5643 6327 6479 7733 9207 10323 10989 12617 15903 18981 19437 21793 22921 23199 30969 37851 58311 65379 68763 69597 113553 174933 196137 206289 208791 239723 252131 340659 435499 588411 618867 710551 719169 756393 848077 1306497 2131653 2157507 2269179 2544231 3919491 4790489 6394959 6472521 6807537 7632693 7816061 9328847 11758473 13500469 14371467 16113463 19184877 22898079 23448183 26290387 27986541 40501407 43114401 48340389 70344549 78871161 83959623 121504221 129343203 145021167 148505159 177248093 211033647 236613483 251878869 289194257 364512663 435063501 445515477 499517353 531744279 709840449 867582771 1336546431 1498552059 1595232837 2602748313 4009639293 4495656177 4785698511 5494690883 7808244939 13486968531 16484072649 49452217947 148356653841