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2153434950 = 233525992663
BaseRepresentation
bin1000000001011010…
…1100111101000110
312120002001211102000
42000112230331012
513402234404300
6553403330130
7104235616002
oct20026547506
95502054360
102153434950
11a05615607
12501220946
132841a9884
14165dd9702
15c90bec00
hex805acf46

2153434950 has 96 divisors (see below), whose sum is σ = 5946048000. Its totient is φ = 573075360.

The previous prime is 2153434937. The next prime is 2153434963. The reversal of 2153434950 is 594343512.

2153434950 is a `hidden beast` number, since 2 + 1 + 534 + 34 + 95 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2153434937) and next prime (2153434963).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807319 + ... + 809981.

It is an arithmetic number, because the mean of its divisors is an integer number (61938000).

Almost surely, 22153434950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153434950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973024000).

2153434950 is an abundant number, since it is smaller than the sum of its proper divisors (3792613050).

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

2153434950 is a wasteful number, since it uses less digits than its factorization.

2153434950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2153434950 is about 46405.1177134591. The cubic root of 2153434950 is about 1291.3498579712.

The spelling of 2153434950 in words is "two billion, one hundred fifty-three million, four hundred thirty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 599 675 1198 1350 1797 2663 2995 3594 5326 5391 5990 7989 8985 10782 13315 14975 15978 16173 17970 23967 26630 26955 29950 32346 39945 44925 47934 53910 66575 71901 79890 80865 89850 119835 133150 134775 143802 161730 199725 239670 269550 359505 399450 404325 599175 719010 808650 1198350 1595137 1797525 3190274 3595050 4785411 7975685 9570822 14356233 15951370 23927055 28712466 39878425 43068699 47854110 71781165 79756850 86137398 119635275 143562330 215343495 239270550 358905825 430686990 717811650 1076717475 2153434950