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2154990464 = 27112989593
BaseRepresentation
bin1000000001110010…
…1000101110000000
312120011222212011122
42000130220232000
513403134143324
6553500531412
7104255055014
oct20034505600
95504885148
102154990464
11a06488260
12501850b68
132846028b3
141662c2544
15c92caa5e
hex80728b80

2154990464 has 128 divisors (see below), whose sum is σ = 4907628000. Its totient is φ = 933560320.

The previous prime is 2154990401. The next prime is 2154990511. The reversal of 2154990464 is 4640994512.

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

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 3633752 + ... + 3634344.

Almost surely, 22154990464 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 2154990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453814000).

2154990464 is an abundant number, since it is smaller than the sum of its proper divisors (2752637536).

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

2154990464 is a wasteful number, since it uses less digits than its factorization.

2154990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 2154990464 is about 46421.8748436553. The cubic root of 2154990464 is about 1291.6607147132.

The spelling of 2154990464 in words is "two billion, one hundred fifty-four million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 89 116 128 176 178 232 319 352 356 464 593 638 704 712 928 979 1186 1276 1408 1424 1856 1958 2372 2552 2581 2848 3712 3916 4744 5104 5162 5696 6523 7832 9488 10208 10324 11392 13046 15664 17197 18976 20416 20648 26092 28391 31328 34394 37952 40832 41296 52184 52777 56782 62656 68788 75904 82592 104368 105554 113564 125312 137576 165184 189167 208736 211108 227128 275152 330368 378334 417472 422216 454256 550304 580547 756668 834944 844432 908512 1100608 1161094 1513336 1530533 1688864 1817024 2201216 2322188 3026672 3061066 3377728 3634048 4644376 6053344 6122132 6755456 9288752 12106688 12244264 16835863 18577504 24213376 24488528 33671726 37155008 48977056 67343452 74310016 97954112 134686904 195908224 269373808 538747616 1077495232 2154990464