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148066554104 = 23753716611063
BaseRepresentation
bin1000100111100101110…
…1000101000011111000
3112011012000100021201022
42021321131011003320
54411220014212404
6152004300042012
713461140641520
oct2117135050370
9464160307638
10148066554104
1157881789687
1224843233308
1310c68b38331
147248a9c680
153cb8eb68be
hex22797450f8

148066554104 has 128 divisors (see below), whose sum is σ = 328629934080. Its totient is φ = 61232371200.

The previous prime is 148066554061. The next prime is 148066554143. The reversal of 148066554104 is 401455660841.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139290677 + ... + 139291739.

It is an arithmetic number, because the mean of its divisors is an integer number (2567421360).

Almost surely, 2148066554104 is an apocalyptic number.

148066554104 is a gapful number since it is divisible by the number (14) 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 148066554104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164314967040).

148066554104 is an abundant number, since it is smaller than the sum of its proper divisors (180563379976).

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

148066554104 is a wasteful number, since it uses less digits than its factorization.

148066554104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 148066554104 in words is "one hundred forty-eight billion, sixty-six million, five hundred fifty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 53 56 71 106 142 212 284 371 424 497 568 661 742 994 1063 1322 1484 1988 2126 2644 2968 3763 3976 4252 4627 5288 7441 7526 8504 9254 14882 15052 18508 26341 29764 30104 35033 37016 46931 52682 56339 59528 70066 75473 93862 105364 112678 140132 150946 187724 210728 225356 245231 280264 301892 328517 375448 394373 450712 490462 528311 603784 657034 702643 788746 980924 1056622 1314068 1405286 1577492 1961848 2113244 2487343 2628136 2810572 3154984 4000069 4226488 4918501 4974686 5621144 8000138 9837002 9949372 16000276 17411401 19674004 19898744 28000483 32000552 34822802 37240079 39348008 49887653 56000966 69645604 74480158 99775306 112001932 139291208 148960316 199550612 224003864 260680553 297920632 349213571 399101224 521361106 698427142 1042722212 1396854284 2085444424 2644045609 2793708568 5288091218 10576182436 18508319263 21152364872 37016638526 74033277052 148066554104