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661340694800 = 24523179675113
BaseRepresentation
bin10011001111110101111…
…10100010100100010000
32100020000222012012202102
421213322332202210100
541313411204213200
61223452110135532
765531432103632
oct11477276424420
92306028165672
10661340694800
11235522643495
12a82097b15a8
134a4970a0516
142401ac0ca52
151230a14d6d5
hex99fafa2910

661340694800 has 120 divisors (see below), whose sum is σ = 1660888458240. Its totient is φ = 252761932800.

The previous prime is 661340694793. The next prime is 661340694803. The reversal of 661340694800 is 8496043166.

661340694800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (661340694803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642044 + ... + 1317156.

It is an arithmetic number, because the mean of its divisors is an integer number (13840737152).

Almost surely, 2661340694800 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 661340694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830444229120).

661340694800 is an abundant number, since it is smaller than the sum of its proper divisors (999547763440).

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

661340694800 is a wasteful number, since it uses less digits than its factorization.

661340694800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675241 (or 675230 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 661340694800 in words is "six hundred sixty-one billion, three hundred forty million, six hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 79 80 100 124 155 158 200 248 310 316 395 400 496 620 632 775 790 1240 1264 1550 1580 1975 2449 2480 3100 3160 3950 4898 6200 6320 7900 9796 12245 12400 15800 19592 24490 31600 39184 48980 61225 97960 122450 195920 244900 489800 675113 979600 1350226 2700452 3375565 5400904 6751130 10801808 13502260 16877825 20928503 27004520 33755650 41857006 53333927 54009040 67511300 83714012 104642515 106667854 135022600 167428024 209285030 213335708 266669635 270045200 334856048 418570060 426671416 523212575 533339270 837140120 853342832 1046425150 1066678540 1333348175 1653351737 1674280240 2092850300 2133357080 2666696350 3306703474 4185700600 4266714160 5333392700 6613406948 8266758685 8371401200 10666785400 13226813896 16533517370 21333570800 26453627792 33067034740 41333793425 66134069480 82667586850 132268138960 165335173700 330670347400 661340694800