Search a number
-
+
68909774400 = 2632524785401
BaseRepresentation
bin100000000101101010…
…1111011011001000000
320120212102220020111200
41000023111323121000
52112111400240100
651353503341200
74656435263235
oct1001325733100
9216772806450
1068909774400
1127251853485
12114318b1800
13666260994c
143499cdd78c
151bd4a5ae00
hex100b57b640

68909774400 has 126 divisors (see below), whose sum is σ = 244921659762. Its totient is φ = 18375936000.

The previous prime is 68909774387. The next prime is 68909774429. The reversal of 68909774400 is 447790986.

It is a happy number.

68909774400 is a `hidden beast` number, since 6 + 89 + 0 + 97 + 74 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14176236096 + 54733538304 = 119064^2 + 233952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2378301 + ... + 2407100.

Almost surely, 268909774400 is an apocalyptic number.

68909774400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68909774400 is an abundant number, since it is smaller than the sum of its proper divisors (176011885362).

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

68909774400 is a wasteful number, since it uses less digits than its factorization.

68909774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785429 (or 4785411 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 68909774400 in words is "sixty-eight billion, nine hundred nine million, seven hundred seventy-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 4785401 9570802 14356203 19141604 23927005 28712406 38283208 43068609 47854010 57424812 71781015 76566416 86137218 95708020 114849624 119635025 143562030 153132832 172274436 191416040 215343045 229699248 239270050 287124060 306265664 344548872 358905075 382832080 430686090 459398496 478540100 574248120 689097744 717810150 765664160 861372180 918796992 957080200 1076715225 1148496240 1378195488 1435620300 1531328320 1722744360 1914160400 2153430450 2296992480 2756390976 2871240600 3445488720 3828320800 4306860900 4593984960 5742481200 6890977440 7656641600 8613721800 11484962400 13781954880 17227443600 22969924800 34454887200 68909774400