Search a number
-
+
71821174480 = 245112331114467
BaseRepresentation
bin100001011100011100…
…0000010011011010000
320212101100012200121021
41002320320002123100
52134042210040410
652554425005224
75121536624146
oct1027070023320
9225340180537
1071821174480
11285061a9450
1211b04923814
136a0783c5a3
143694841596
151d0544ceda
hex10b8e026d0

71821174480 has 160 divisors (see below), whose sum is σ = 196218298368. Its totient is φ = 24175219200.

The previous prime is 71821174433. The next prime is 71821174487. The reversal of 71821174480 is 8447112817.

It is a super-2 number, since 2×718211744802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71821174487) 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, 570207 + ... + 684673.

Almost surely, 271821174480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71821174480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98109149184).

71821174480 is an abundant number, since it is smaller than the sum of its proper divisors (124397123888).

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

71821174480 is a wasteful number, since it uses less digits than its factorization.

71821174480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114545 (or 114539 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 43.

The spelling of 71821174480 in words is "seventy-one billion, eight hundred twenty-one million, one hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 31 40 44 46 55 62 80 88 92 110 115 124 155 176 184 220 230 248 253 310 341 368 440 460 496 506 620 682 713 880 920 1012 1240 1265 1364 1426 1705 1840 2024 2480 2530 2728 2852 3410 3565 4048 5060 5456 5704 6820 7130 7843 10120 11408 13640 14260 15686 20240 27280 28520 31372 39215 57040 62744 78430 114467 125488 156860 228934 313720 457868 572335 627440 915736 1144670 1259137 1831472 2289340 2518274 2632741 3548477 4578680 5036548 5265482 6295685 7096954 9157360 10073096 10530964 12591370 13163705 14193908 17742385 20146192 21061928 25182740 26327410 28387816 28960151 35484770 39033247 42123856 50365480 52654820 56775632 57920302 70969540 78066494 81614971 100730960 105309640 115840604 141939080 144800755 156132988 163229942 195166235 210619280 231681208 283878160 289601510 312265976 326459884 390332470 408074855 463362416 579203020 624531952 652919768 780664940 816149710 897764681 1158406040 1305839536 1561329880 1632299420 1795529362 2316812080 3122659760 3264598840 3591058724 4488823405 6529197680 7182117448 8977646810 14364234896 17955293620 35910587240 71821174480