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82376854035280 = 24572347991332719
BaseRepresentation
bin10010101110101111011011…
…000111110101101101010000
3101210200011001121001102001021
4102232233123013311231100
541244130244113112110
6451111223155245224
723231350144064620
oct2256573307655520
9353604047042037
1082376854035280
112427a9115a7462
1292a52298a9814
1336c714765a4bc
14164b0bd5a0880
1597cc272bb2da
hex4aebdb1f5b50

82376854035280 has 160 divisors (see below), whose sum is σ = 228451663872000. Its totient is φ = 27009865191936.

The previous prime is 82376854035271. The next prime is 82376854035323. The reversal of 82376854035280 is 8253045867328.

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, 61144761 + ... + 62477479.

It is an arithmetic number, because the mean of its divisors is an integer number (1427822899200).

Almost surely, 282376854035280 is an apocalyptic number.

82376854035280 is a gapful number since it is divisible by the number (80) 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 82376854035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114225831936000).

82376854035280 is an abundant number, since it is smaller than the sum of its proper divisors (146074809836720).

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

82376854035280 is a wasteful number, since it uses less digits than its factorization.

82376854035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337561 (or 1337555 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 61.

The spelling of 82376854035280 in words is "eighty-two trillion, three hundred seventy-six billion, eight hundred fifty-four million, thirty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 4799 6440 9598 12880 19196 23995 33593 38392 47990 67186 76784 95980 110377 134372 167965 191960 220754 268744 335930 383920 441508 537488 551885 671860 772639 883016 1103770 1332719 1343720 1545278 1766032 2207540 2665438 2687440 3090556 3863195 4415080 5330876 6181112 6663595 7726390 8830160 9329033 10661752 12362224 13327190 15452780 18658066 21323504 26654380 30652537 30905560 37316132 46645165 53308760 61305074 61811120 74632264 93290330 106617520 122610148 149264528 153262685 186580660 214567759 245220296 306525370 373161320 429135518 490440592 613050740 746322640 858271036 1072838795 1226101480 1716542072 2145677590 2452202960 3433084144 4291355180 6395718481 8582710360 12791436962 17165420720 25582873924 31978592405 44770029367 51165747848 63957184810 89540058734 102331495696 127914369620 147101525063 179080117468 223850146835 255828739240 294203050126 358160234936 447700293670 511657478480 588406100252 716320469872 735507625315 895400587340 1029710675441 1176812200504 1471015250630 1790801174680 2059421350882 2353624401008 2942030501260 3581602349360 4118842701764 5148553377205 5884061002520 8237685403528 10297106754410 11768122005040 16475370807056 20594213508820 41188427017640 82376854035280