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74081625784360 = 235372367812
BaseRepresentation
bin10000110110000001111000…
…111111010100000000101000
3100201022010121212121221121021
4100312001320333110000220
534202223132200044420
6421320343513222224
721414135514250635
oct2066017077240050
9321263555557537
1074081625784360
11216719284a6707
128385622701974
133244b376ca20c
1414417d982718c
15887076a637aa
hex436078fd4028

74081625784360 has 72 divisors (see below), whose sum is σ = 171315035226090. Its totient is φ = 28830983996160.

The previous prime is 74081625784351. The next prime is 74081625784367. The reversal of 74081625784360 is 6348752618047.

It can be written as a sum of positive squares in 9 ways, for example, as 389668086756 + 73691957697604 = 624234^2 + 8584402^2 .

It is not an unprimeable number, because it can be changed into a prime (74081625784367) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2014109170 + ... + 2014145950.

Almost surely, 274081625784360 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 74081625784360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85657517613045).

74081625784360 is an abundant number, since it is smaller than the sum of its proper divisors (97233409441730).

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

74081625784360 is an frugal number, since it uses more digits than its factorization.

74081625784360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73647 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 74081625784360 in words is "seventy-four trillion, eighty-one billion, six hundred twenty-five million, seven hundred eighty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1369 1480 2738 5476 6845 10952 13690 27380 36781 54760 73562 147124 183905 294248 367810 735620 1360897 1471240 2721794 5443588 6804485 10887176 13608970 27217940 50353189 54435880 100706378 201412756 251765945 402825512 503531890 1007063780 1352841961 2014127560 2705683922 5411367844 6764209805 10822735688 13528419610 27056839220 50055152557 54113678440 100110305114 200220610228 250275762785 400441220456 500551525570 1001103051140 1852040644609 2002206102280 3704081289218 7408162578436 9260203223045 14816325156872 18520406446090 37040812892180 74081625784360