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861274540840 = 235771916972521
BaseRepresentation
bin11001000100001111111…
…01101000101100101000
310001100002200222221002011
430202013331220230220
5103102342240301330
61455355234245304
7116140120543150
oct14420775505450
93040080887064
10861274540840
113022a003019a
1211ab07126834
13632aa79962c
142d9861cd760
151760c8a682a
hexc887f68b28

861274540840 has 128 divisors (see below), whose sum is σ = 2219973350400. Its totient is φ = 294592757760.

The previous prime is 861274540781. The next prime is 861274540859. The reversal of 861274540840 is 48045472168.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 341638780 + ... + 341641300.

It is an arithmetic number, because the mean of its divisors is an integer number (17343541800).

Almost surely, 2861274540840 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 861274540840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109986675200).

861274540840 is an abundant number, since it is smaller than the sum of its proper divisors (1358698809560).

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

861274540840 is a wasteful number, since it uses less digits than its factorization.

861274540840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 861274540840 in words is "eight hundred sixty-one billion, two hundred seventy-four million, five hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 719 1438 1697 2521 2876 3394 3595 5033 5042 5752 6788 7190 8485 10066 10084 11879 12605 13576 14380 16970 17647 20132 20168 23758 25165 25210 28760 33940 35294 40264 47516 50330 50420 59395 67880 70588 88235 95032 100660 100840 118790 141176 176470 201320 237580 352940 475160 705880 1220143 1812599 2440286 3625198 4278137 4880572 6100715 7250396 8541001 8556274 9062995 9761144 12201430 12688193 14500792 17082002 17112548 18125990 21390685 24402860 25376386 29946959 34164004 34225096 36251980 42705005 42781370 48805720 50752772 59893918 63440965 68328008 72503960 85410010 85562740 101505544 119787836 126881930 149734795 170820020 171125480 239575672 253763860 299469590 341640040 507527720 598939180 1197878360 3075980503 6151961006 12303922012 15379902515 21531863521 24607844024 30759805030 43063727042 61519610060 86127454084 107659317605 123039220120 172254908168 215318635210 430637270420 861274540840