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148008001336 = 2313293110911451
BaseRepresentation
bin1000100111010111110…
…1101101111100111000
3112011000221011111102021
42021311331231330320
54411110022020321
6151554405044224
713456530152656
oct2116575557470
9464027144367
10148008001336
1157851727068
12248276b6674
1310c59977020
147240db9dd6
153cb3c9c941
hex2275f6df38

148008001336 has 128 divisors (see below), whose sum is σ = 319653734400. Its totient is φ = 63725760000.

The previous prime is 148008001331. The next prime is 148008001403. The reversal of 148008001336 is 633100800841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148008001331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102003411 + ... + 102004861.

It is an arithmetic number, because the mean of its divisors is an integer number (2497294800).

Almost surely, 2148008001336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148008001336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159826867200).

148008001336 is an abundant number, since it is smaller than the sum of its proper divisors (171645733064).

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

148008001336 is a wasteful number, since it uses less digits than its factorization.

148008001336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 148008001336 in words is "one hundred forty-eight billion, eight million, one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1091 1451 1508 1612 1798 2182 2902 3016 3224 3596 4364 5804 7192 8728 11608 11687 14183 18863 23374 28366 31639 33821 37726 42079 44981 46748 56732 63278 67642 75452 84158 89962 93496 113464 126556 135284 150904 168316 179924 253112 270568 336632 359848 411307 439673 547027 584753 822614 879346 980809 1094054 1169506 1304449 1583041 1645228 1758692 1961618 2188108 2339012 2608898 3166082 3290456 3517384 3923236 4376216 4678024 5217796 6332164 7846472 10435592 12664328 12750517 16957837 20579533 25501034 33915674 41159066 45908189 49074271 51002068 67831348 82318132 91816378 98148542 102004136 135662696 164636264 183632756 196297084 367265512 392594168 596806457 637965523 1193612914 1275931046 1423153859 2387225828 2551862092 2846307718 4774451656 5103724184 5692615436 11385230872 18501000167 37002000334 74004000668 148008001336