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21455741952 = 210329724001
BaseRepresentation
bin10011111110110111…
…001010010000000000
32001101021202121210100
4103332313022100000
5322420132220302
613505011002400
71356456540351
oct237667122000
961337677710
1021455741952
119110230547
1241a9599400
13203c1721c8
141077787d28
15858971d1c
hex4fedca400

21455741952 has 132 divisors (see below), whose sum is σ = 62594287756. Its totient is φ = 7077888000.

The previous prime is 21455741947. The next prime is 21455742019. The reversal of 21455741952 is 25914755412.

21455741952 is a `hidden beast` number, since 2 + 1 + 4 + 557 + 4 + 1 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7648551936 + 13807190016 = 87456^2 + 117504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21455741898 and 21455741907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881952 + ... + 905952.

Almost surely, 221455741952 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 21455741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31297143878).

21455741952 is an abundant number, since it is smaller than the sum of its proper divisors (41138545804).

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

21455741952 is a wasteful number, since it uses less digits than its factorization.

21455741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24124 (or 24103 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 21455741952 in words is "twenty-one billion, four hundred fifty-five million, seven hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 776 873 1024 1152 1164 1536 1552 1746 2304 2328 3072 3104 3492 4608 4656 6208 6984 9216 9312 12416 13968 18624 24001 24832 27936 37248 48002 49664 55872 72003 74496 96004 99328 111744 144006 148992 192008 216009 223488 288012 297984 384016 432018 446976 576024 768032 864036 893952 1152048 1536064 1728072 2304096 2328097 3072128 3456144 4608192 4656194 6144256 6912288 6984291 9216384 9312388 12288512 13824576 13968582 18432768 18624776 20952873 24577024 27649152 27937164 36865536 37249552 41905746 55298304 55874328 73731072 74499104 83811492 110596608 111748656 148998208 167622984 221193216 223497312 297996416 335245968 446994624 595992832 670491936 893989248 1191985664 1340983872 1787978496 2383971328 2681967744 3575956992 5363935488 7151913984 10727870976 21455741952