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148146822421542 = 23372234493914257
BaseRepresentation
bin100001101011110100011110…
…101110011001110000100110
3201102112200211202220202011000
4201223310132232121300212
5123404214143014442132
61243025413301054130
743130153236222410
oct4153643656316046
9642480752822130
10148146822421542
114322779509392a
1214747a1b0b7346
136488254465b69
1428824b72cb9b0
15121d98b0b187c
hex86bd1eb99c26

148146822421542 has 128 divisors (see below), whose sum is σ = 378774918144000. Its totient is φ = 42043994431488.

The previous prime is 148146822421537. The next prime is 148146822421547. The reversal of 148146822421542 is 245124228641841.

148146822421542 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 468 + 2 + 24 + 2 + 154 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (148146822421537) and next prime (148146822421547).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148146822421547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35890878 + ... + 39805134.

It is an arithmetic number, because the mean of its divisors is an integer number (2959179048000).

Almost surely, 2148146822421542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148146822421542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189387459072000).

148146822421542 is an abundant number, since it is smaller than the sum of its proper divisors (230628095722458).

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

148146822421542 is a wasteful number, since it uses less digits than its factorization.

148146822421542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914947 (or 3914941 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 148146822421542 in words is "one hundred forty-eight trillion, one hundred forty-six billion, eight hundred twenty-two million, four hundred twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 223 378 446 449 669 898 1338 1347 1561 2007 2694 3122 3143 4014 4041 4683 6021 6286 8082 9366 9429 12042 12123 14049 18858 24246 28098 28287 42147 56574 84294 84861 100127 169722 200254 300381 600762 700889 901143 1401778 1802286 2102667 2703429 3914257 4205334 5406858 6308001 7828514 11742771 12616002 18924003 23485542 27399799 35228313 37848006 54799598 70456626 82199397 105684939 164398794 211369878 246598191 493196382 739794573 872879311 1479589146 1745758622 1757501393 2618637933 3515002786 5237275866 5272504179 6110155177 7855913799 10545008358 12220310354 12302509751 15711827598 15817512537 18330465531 23567741397 24605019502 31635025074 36660931062 36907529253 47135482794 47452537611 54991396593 73815058506 94905075222 109982793186 110722587759 164974189779 221445175518 329948379558 332167763277 391922810639 664335526554 783845621278 1175768431917 2351536863834 2743459674473 3527305295751 5486919348946 7054610591502 8230379023419 10581915887253 16460758046838 21163831774506 24691137070257 49382274140514 74073411210771 148146822421542