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2153434368 = 28313272113
BaseRepresentation
bin1000000001011010…
…1100110100000000
312120002001210121110
42000112230310000
513402234344433
6553403323320
7104235614211
oct20026546400
95502053543
102153434368
11a05615128
12501220540
132841a9527
14165dd9408
15c90be963
hex805acd00

2153434368 has 72 divisors (see below), whose sum is σ = 5738309248. Its totient is φ = 716931072.

The previous prime is 2153434357. The next prime is 2153434399. The reversal of 2153434368 is 8634343512.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018080 + ... + 1020192.

Almost surely, 22153434368 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 2153434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869154624).

2153434368 is an abundant number, since it is smaller than the sum of its proper divisors (3584874880).

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

2153434368 is a wasteful number, since it uses less digits than its factorization.

2153434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 2153434368 is about 46405.1114425986. Note that the first 3 decimals coincide. The cubic root of 2153434368 is about 1291.3497416352.

The spelling of 2153434368 in words is "two billion, one hundred fifty-three million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1327 2113 2654 3981 4226 5308 6339 7962 8452 10616 12678 15924 16904 21232 25356 31848 33808 42464 50712 63696 67616 84928 101424 127392 135232 169856 202848 254784 270464 339712 405696 509568 540928 811392 1019136 1622784 2803951 5607902 8411853 11215804 16823706 22431608 33647412 44863216 67294824 89726432 134589648 179452864 269179296 358905728 538358592 717811456 1076717184 2153434368