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148282729306816 = 2613297977793293
BaseRepresentation
bin100001101101110011000011…
…011010000001101011000000
3201110000200122100200212001111
4201231303003122001223000
5123413431012200304231
61243212051225213104
743143034156540546
oct4155630332015300
9643020570625044
10148282729306816
114327a396a75325
121476a22a031194
136498003033880
142888ccb087d96
1512222927b84b1
hex86dcc3681ac0

148282729306816 has 112 divisors (see below), whose sum is σ = 331959544156800. Its totient is φ = 65241811095552.

The previous prime is 148282729306769. The next prime is 148282729306837. The reversal of 148282729306816 is 618603927282841.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36990535 + ... + 40802758.

It is an arithmetic number, because the mean of its divisors is an integer number (2963924501400).

Almost surely, 2148282729306816 is an apocalyptic number.

148282729306816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148282729306816 is an abundant number, since it is smaller than the sum of its proper divisors (183676814849984).

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

148282729306816 is a wasteful number, since it uses less digits than its factorization.

148282729306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77793426 (or 77793416 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 148282729306816 in words is "one hundred forty-eight trillion, two hundred eighty-two billion, seven hundred twenty-nine million, three hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 79 104 116 158 208 232 316 377 416 464 632 754 832 928 1027 1264 1508 1856 2054 2291 2528 3016 4108 4582 5056 6032 8216 9164 12064 16432 18328 24128 29783 32864 36656 59566 65728 73312 119132 146624 238264 476528 953056 1906112 77793293 155586586 311173172 622346344 1011312809 1244692688 2022625618 2256005497 2489385376 4045251236 4512010994 4978770752 6145670147 8090502472 9024021988 12291340294 16181004944 18048043976 24582680588 29328071461 32362009888 36096087952 49165361176 58656142922 64724019776 72192175904 79893711911 98330722352 117312285844 144384351808 159787423822 178224434263 196661444704 234624571688 319574847644 356448868526 393322889408 469249143376 639149695288 712897737052 938498286752 1278299390576 1425795474104 1876996573504 2316917645419 2556598781152 2851590948208 4633835290838 5113197562304 5703181896416 9267670581676 11406363792832 18535341163352 37070682326704 74141364653408 148282729306816