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601055152120146 = 231947971795764403
BaseRepresentation
bin1000100010101010000000111…
…0110101010010000101010010
32220211011022101222202120222210
42020222200032311102011102
51112240141422420321041
65530200531444212550
7240413541662266323
oct21052401665220522
92824138358676883
10601055152120146
11164573070995019
12574b462239a156
131ca4c347065989
14a85d32038444a
154974c5577d016
hex222a80ed52152

601055152120146 has 128 divisors (see below), whose sum is σ = 1305717916446720. Its totient is φ = 183840213952512.

The previous prime is 601055152119907. The next prime is 601055152120169. The reversal of 601055152120146 is 641021251550106.

It is a super-2 number, since 2×6010551521201462 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9332687581 + ... + 9332751983.

It is an arithmetic number, because the mean of its divisors is an integer number (10200921222240).

Almost surely, 2601055152120146 is an apocalyptic number.

601055152120146 is an abundant number, since it is smaller than the sum of its proper divisors (704662764326574).

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

601055152120146 is a wasteful number, since it uses less digits than its factorization.

601055152120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82528.

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 601055152120146 in words is "six hundred one trillion, fifty-five billion, one hundred fifty-two million, one hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 38 47 57 94 97 114 141 194 282 291 582 893 1786 1843 2679 3686 4559 5358 5529 9118 11058 13677 17957 27354 35914 53871 64403 86621 107742 128806 173242 193209 259863 341183 386418 519726 682366 843979 1023549 1223657 1687958 1741829 2047098 2447314 2531937 3026941 3483658 3670971 5063874 5225487 6053882 6247091 7341942 9080823 10450974 12494182 16035601 18161646 18741273 32071202 33094751 37482546 48106803 57511879 66189502 81865963 96213606 99284253 115023758 118694729 163731926 172535637 198568506 237389458 245597889 293613277 345071274 356084187 491195778 587226554 712168374 880839831 1156484671 1555453297 1761679662 2312969342 3110906594 3469454013 4666359891 5578652263 6938908026 9332719782 11157304526 16735956789 21973208749 33471913578 43946417498 54354779537 65919626247 108709559074 112179013087 131839252494 163064338611 224358026174 326128677222 336537039261 673074078522 1032740811203 2065481622406 2131401248653 3098222433609 4262802497306 5272413615089 6196444867218 6394203745959 10544827230178 12788407491918 15817240845267 31634481690534 100175858686691 200351717373382 300527576060073 601055152120146