Search a number
-
+
10710077374000 = 245323232827769
BaseRepresentation
bin1001101111011010001001…
…0110110111111000110000
31101220212120201002021212101
42123312202112313320300
52400433214301432000
634440050331310144
72153530462421044
oct233664226677060
941825521067771
1010710077374000
11345a133514984
12124b8272ab354
135c8c57333954
14290528978024
151388d8a8de6a
hex9bda25b7e30

10710077374000 has 80 divisors (see below), whose sum is σ = 27022922297280. Its totient is φ = 4097768716800.

The previous prime is 10710077373971. The next prime is 10710077374037. The reversal of 10710077374000 is 47377001701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107100773740002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116367885 + ... + 116459884.

It is an arithmetic number, because the mean of its divisors is an integer number (337786528716).

Almost surely, 210710077374000 is an apocalyptic number.

10710077374000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10710077374000 is an abundant number, since it is smaller than the sum of its proper divisors (16312844923280).

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

10710077374000 is a wasteful number, since it uses less digits than its factorization.

10710077374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232827815 (or 232827799 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 37.

The spelling of 10710077374000 in words is "ten trillion, seven hundred ten billion, seventy-seven million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 232827769 465655538 931311076 1164138845 1862622152 2328277690 3725244304 4656555380 5355038687 5820694225 9313110760 10710077374 11641388450 18626221520 21420154748 23282776900 26775193435 29103471125 42840309496 46565553800 53550386870 58206942250 85680618992 93131107600 107100773740 116413884500 133875967175 214201547480 232827769000 267751934350 428403094960 465655538000 535503868700 669379835875 1071007737400 1338759671750 2142015474800 2677519343500 5355038687000 10710077374000