Search a number
-
+
147764749480 = 23541476592909
BaseRepresentation
bin1000100110011101110…
…1110010010010101000
3112010101222110000121021
42021213131302102220
54410110233440410
6151514315222224
713450514434615
oct2114735622250
9463358400537
10147764749480
1157737392377
122477a147974
1310c1b45800a
14721a97950c
153c9c74ceda
hex22677724a8

147764749480 has 128 divisors (see below), whose sum is σ = 348473664000. Its totient is φ = 56332380160.

The previous prime is 147764749441. The next prime is 147764749487. The reversal of 147764749480 is 84947467741.

It is a super-3 number, since 3×1477647494803 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (147764749487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50794266 + ... + 50797174.

It is an arithmetic number, because the mean of its divisors is an integer number (2722450500).

Almost surely, 2147764749480 is an apocalyptic number.

147764749480 is a gapful number since it is divisible by the number (10) 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 147764749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174236832000).

147764749480 is an abundant number, since it is smaller than the sum of its proper divisors (200708914520).

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

147764749480 is a wasteful number, since it uses less digits than its factorization.

147764749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 61.

The spelling of 147764749480 in words is "one hundred forty-seven billion, seven hundred sixty-four million, seven hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 659 820 940 1318 1640 1880 1927 2636 2909 3295 3854 5272 5818 6590 7708 9635 11636 13180 14545 15416 19270 23272 26360 27019 29090 30973 38540 54038 58180 61946 77080 108076 116360 119269 123892 135095 136723 154865 216152 238538 247784 270190 273446 309730 477076 540380 546892 596345 619460 683615 954152 1080760 1093784 1192690 1238920 1269893 1367230 1917031 2385380 2539786 2734460 3834062 4770760 5079572 5468920 5605643 6349465 7668124 9585155 10159144 11211286 12698930 15336248 19170310 22422572 25397860 28028215 38340620 44845144 50795720 56056430 76681240 78598271 90100457 112112860 157196542 180200914 224225720 314393084 360401828 392991355 450502285 628786168 720803656 785982710 901004570 1571965420 1802009140 3143930840 3604018280 3694118737 7388237474 14776474948 18470593685 29552949896 36941187370 73882374740 147764749480