Search a number
-
+
32056631640 = 23325112735919
BaseRepresentation
bin11101110110101110…
…010110000101011000
310001202002012121121100
4131312232112011120
51011122444203030
622420540511400
72213251605315
oct356656260530
9101662177540
1032056631640
1112660150900
12626784b560
13303b4aa1b7
1417a1645d0c
15c79476360
hex776b96158

32056631640 has 144 divisors (see below), whose sum is σ = 114516511200. Its totient is φ = 7771294080.

The previous prime is 32056631609. The next prime is 32056631647. The reversal of 32056631640 is 4613665023.

32056631640 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 6 + 3 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32056631595 and 32056631604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32056631647) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 324400 + ... + 411519.

It is an arithmetic number, because the mean of its divisors is an integer number (795253550).

Almost surely, 232056631640 is an apocalyptic number.

32056631640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32056631640 is an abundant number, since it is smaller than the sum of its proper divisors (82459879560).

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

32056631640 is a wasteful number, since it uses less digits than its factorization.

32056631640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735958 (or 735940 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 32056631640 in words is "thirty-two billion, fifty-six million, six hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 735919 1471838 2207757 2943676 3679595 4415514 5887352 6623271 7359190 8095109 8831028 11038785 13246542 14718380 16190218 17662056 22077570 24285327 26493084 29436760 32380436 33116355 40475545 44155140 48570654 52986168 64760872 66232710 72855981 80951090 88310280 89046199 97141308 121426635 132465420 145711962 161902180 178092398 194282616 242853270 264930840 267138597 291423924 323804360 356184796 364279905 445230995 485706540 534277194 582847848 712369592 728559810 801415791 890461990 971413080 1068554388 1335692985 1457119620 1602831582 1780923980 2137108776 2671385970 2914239240 3205663164 3561847960 4007078955 5342771940 6411326328 8014157910 10685543880 16028315820 32056631640