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147931149663024 = 24371355696081347
BaseRepresentation
bin100001101000101011100111…
…101000000111101100110000
3201101210002011011120102202220
4201220223213220013230300
5123342200443303204044
61242342344301241040
743105446536064030
oct4150534750075460
9641702134512686
10147931149663024
1143154280478242
121471206a863180
136470b03108aa0
142875c978dd8c0
151218066c37019
hex868ae7a07b30

147931149663024 has 160 divisors (see below), whose sum is σ = 470429728903680. Its totient is φ = 39007796576256.

The previous prime is 147931149662999. The next prime is 147931149663067. The reversal of 147931149663024 is 420366941139741.

It is a happy number.

It is a Cunningham number, because it is equal to 121626952-1.

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, 21284719 + ... + 27366065.

It is an arithmetic number, because the mean of its divisors is an integer number (2940185805648).

Almost surely, 2147931149663024 is an apocalyptic number.

147931149663024 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 147931149663024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235214864451840).

147931149663024 is an abundant number, since it is smaller than the sum of its proper divisors (322498579240656).

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

147931149663024 is a wasteful number, since it uses less digits than its factorization.

147931149663024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086947 (or 6086941 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 147931149663024 in words is "one hundred forty-seven trillion, nine hundred thirty-one billion, one hundred forty-nine million, six hundred sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 5569 11138 16707 22276 33414 38983 44552 66828 72397 77966 89104 116949 133656 144794 155932 217191 233898 267312 289588 311864 434382 467796 506779 579176 623728 868764 935592 1013558 1158352 1520337 1737528 1871184 2027116 3040674 3475056 4054232 6081347 6081348 8108464 12162694 12162696 18244041 24325388 24325392 36488082 42569429 48650776 72976164 79057511 85138858 97301552 127708287 145952328 158115022 170277716 237172533 255416574 291904656 316230044 340555432 474345066 510833148 553402577 632460088 681110864 948690132 1021666296 1106805154 1264920176 1660207731 1897380264 2043332592 2213610308 3320415462 3794760528 4427220616 6640830924 8854441232 13281661848 26563323696 33867021443 67734042886 101601064329 135468085772 203202128658 237069150101 270936171544 406404257316 440271278759 474138300202 541872343088 711207450303 812808514632 880542557518 948276600404 1320813836277 1422414900606 1625617029264 1761085115036 1896553200808 2641627672554 2844829801212 3081898951313 3522170230072 3793106401616 5283255345108 5689659602424 6163797902626 7044340460144 9245696853939 10566510690216 11379319204848 12327595805252 18491393707878 21133021380432 24655191610504 36982787415756 49310383221008 73965574831512 147931149663024