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71550437840 = 2457319914159
BaseRepresentation
bin100001010100010111…
…1010000100111010000
320211200110202211202022
41002220233100213100
52133013403002330
652511514111012
75112041454410
oct1025057204720
9224613684668
1071550437840
11283873a1a62
1211a4a11b468
1369937193ab
14366a8c8640
151cdb7beae5
hex10a8bd09d0

71550437840 has 160 divisors (see below), whose sum is σ = 196497899520. Its totient is φ = 23710579200.

The previous prime is 71550437839. The next prime is 71550437857. The reversal of 71550437840 is 4873405517.

It is a junction number, because it is equal to n+sod(n) for n = 71550437791 and 71550437800.

It is a congruent number.

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, 17201681 + ... + 17205839.

It is an arithmetic number, because the mean of its divisors is an integer number (1228111872).

Almost surely, 271550437840 is an apocalyptic number.

71550437840 is a gapful number since it is divisible by the number (70) 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 71550437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98248949760).

71550437840 is an abundant number, since it is smaller than the sum of its proper divisors (124947461680).

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

71550437840 is a wasteful number, since it uses less digits than its factorization.

71550437840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 71550437840 in words is "seventy-one billion, five hundred fifty million, four hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 991 1085 1240 1736 1982 2170 2480 3472 3964 4159 4340 4955 6937 7928 8318 8680 9910 13874 15856 16636 17360 19820 20795 27748 29113 30721 33272 34685 39640 41590 55496 58226 61442 66544 69370 79280 83180 110992 116452 122884 128929 138740 145565 153605 166360 215047 232904 245768 257858 277480 291130 307210 332720 430094 465808 491536 515716 554960 582260 614420 644645 860188 902503 1031432 1075235 1164520 1228840 1289290 1720376 1805006 2062864 2150470 2329040 2457680 2578580 3440752 3610012 4121569 4300940 4512515 5157160 7220024 8243138 8601880 9025030 10314320 14440048 16486276 17203760 18050060 20607845 28850983 32972552 36100120 41215690 57701966 65945104 72200240 82431380 115403932 127768639 144254915 164862760 230807864 255537278 288509830 329725520 461615728 511074556 577019660 638843195 894380473 1022149112 1154039320 1277686390 1788760946 2044298224 2308078640 2555372780 3577521892 4471902365 5110745560 7155043784 8943804730 10221491120 14310087568 17887609460 35775218920 71550437840