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20434947948 = 2235137153457
BaseRepresentation
bin10011000010000001…
…001000111101101100
31221202010221220200000
4103002001020331230
5313322321313243
613215423504300
71322253122502
oct230201107554
957663856600
1020434947948
118736aa4938
123b63758090
131c0883439c
14dbbd86672
157e90345d3
hex4c2048f6c

20434947948 has 72 divisors (see below), whose sum is σ = 53959515792. Its totient is φ = 6761885184.

The previous prime is 20434947947. The next prime is 20434947979. The reversal of 20434947948 is 84974943402.

20434947948 is a `hidden beast` number, since 2 + 0 + 43 + 494 + 79 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20434947894 and 20434947903.

It is not an unprimeable number, because it can be changed into a prime (20434947947) 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, 56436 + ... + 209892.

Almost surely, 220434947948 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 20434947948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26979757896).

20434947948 is an abundant number, since it is smaller than the sum of its proper divisors (33524567844).

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

20434947948 is a wasteful number, since it uses less digits than its factorization.

20434947948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153613 (or 153599 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 20434947948 in words is "twenty billion, four hundred thirty-four million, nine hundred forty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 822 972 1233 1644 2466 3699 4932 7398 11097 14796 22194 33291 44388 66582 133164 153457 306914 460371 613828 920742 1381113 1841484 2762226 4143339 5524452 8286678 12430017 16573356 21023609 24860034 37290051 42047218 49720068 63070827 74580102 84094436 126141654 149160204 189212481 252283308 378424962 567637443 756849924 1135274886 1702912329 2270549772 3405824658 5108736987 6811649316 10217473974 20434947948