Search a number
-
+
20697413760 = 273351197767
BaseRepresentation
bin10011010001101010…
…010111100010000000
31222102102211120002000
4103101222113202000
5314342014220020
613301441224000
71331621054112
oct232152274200
958372746060
1020697413760
118861172331
124017632000
131c4b01caba
141004b893b2
158120cc090
hex4d1a97880

20697413760 has 128 divisors (see below), whose sum is σ = 73303401600. Its totient is φ = 5519305728.

The previous prime is 20697413749. The next prime is 20697413783. The reversal of 20697413760 is 6731479602.

20697413760 is a `hidden beast` number, since 206 + 9 + 74 + 1 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 581604 + ... + 616163.

It is an arithmetic number, because the mean of its divisors is an integer number (572682825).

Almost surely, 220697413760 is an apocalyptic number.

20697413760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20697413760 is an abundant number, since it is smaller than the sum of its proper divisors (52605987840).

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

20697413760 is a wasteful number, since it uses less digits than its factorization.

20697413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197795 (or 1197777 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20697413760 in words is "twenty billion, six hundred ninety-seven million, four hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 1197767 2395534 3593301 4791068 5988835 7186602 9582136 10779903 11977670 14373204 17966505 19164272 21559806 23955340 28746408 32339709 35933010 38328544 43119612 47910680 53899515 57492816 64679418 71866020 76657088 86239224 95821360 107799030 114985632 129358836 143732040 153314176 161698545 172478448 191642720 215598060 229971264 258717672 287464080 323397090 344956896 383285440 431196120 459942528 517435344 574928160 646794180 689913792 766570880 862392240 1034870688 1149856320 1293588360 1379827584 1724784480 2069741376 2299712640 2587176720 3449568960 4139482752 5174353440 6899137920 10348706880 20697413760