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20462001480 = 23325269211297
BaseRepresentation
bin10011000011101000…
…010101110101001000
31221211000212101010200
4103003220111311020
5313401233021410
613222231412200
71323032066664
oct230350256510
957730771120
1020462001480
1187502a2628
123b70824060
131c113171ab
14dc17c98a4
157eb5ca3c0
hex4c3a15d48

20462001480 has 96 divisors (see below), whose sum is σ = 66749038200. Its totient is φ = 5436223488.

The previous prime is 20462001449. The next prime is 20462001503. The reversal of 20462001480 is 8410026402.

20462001480 is a `hidden beast` number, since 20 + 4 + 620 + 0 + 14 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14018086404 + 6443915076 = 118398^2 + 80274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8809 + ... + 202488.

Almost surely, 220462001480 is an apocalyptic number.

20462001480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20462001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33374519100).

20462001480 is an abundant number, since it is smaller than the sum of its proper divisors (46287036720).

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

20462001480 is a wasteful number, since it uses less digits than its factorization.

20462001480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211583 (or 211576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20462001480 its reverse (8410026402), we get a palindrome (28872027882).

The spelling of 20462001480 in words is "twenty billion, four hundred sixty-two million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 24210 32280 48420 96840 211297 422594 633891 845188 1056485 1267782 1690376 1901673 2112970 2535564 3169455 3803346 4225940 5071128 6338910 7606692 8451880 9508365 12677820 15213384 19016730 25355640 38033460 56838893 76066920 113677786 170516679 227355572 284194465 341033358 454711144 511550037 568388930 682066716 852583395 1023100074 1136777860 1364133432 1705166790 2046200148 2273555720 2557750185 3410333580 4092400296 5115500370 6820667160 10231000740 20462001480