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2138873472 = 27331932573
BaseRepresentation
bin111111101111100…
…1001111010000000
312112001200000211000
41333133021322000
513340022422342
6552123252000
7104001060501
oct17737117200
95461600730
102138873472
119a837a32a
124b837a000
1328117ba08
141640c8ba8
15c7b9544c
hex7f7c9e80

2138873472 has 128 divisors (see below), whose sum is σ = 6645096000. Its totient is φ = 675412992.

The previous prime is 2138873461. The next prime is 2138873497. The reversal of 2138873472 is 2743788312.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49378 + ... + 81950.

Almost surely, 22138873472 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 2138873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322548000).

2138873472 is an abundant number, since it is smaller than the sum of its proper divisors (4506222528).

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

2138873472 is a wasteful number, since it uses less digits than its factorization.

2138873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32615 (or 32597 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2138873472 is about 46247.9564089052. The cubic root of 2138873472 is about 1288.4325797751.

The spelling of 2138873472 in words is "two billion, one hundred thirty-eight million, eight hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32573 32832 65146 65664 97719 130292 195438 260584 293157 390876 521168 586314 618887 781752 879471 1042336 1172628 1237774 1563504 1758942 1856661 2084672 2345256 2475548 3127008 3517884 3713322 4169344 4690512 4951096 5569983 6254016 7035768 7426644 9381024 9902192 11139966 12508032 14071536 14853288 16709949 18762048 19804384 22279932 28143072 29706576 33419898 37524096 39608768 44559864 56286144 59413152 66839796 79217536 89119728 112572288 118826304 133679592 178239456 237652608 267359184 356478912 534718368 712957824 1069436736 2138873472