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2159348928 = 263112344453
BaseRepresentation
bin1000000010110101…
…0000110011000000
312120111012021212020
42000231100303000
513410243131203
6554134201440
7104340106632
oct20055206300
95514167766
102159348928
11a089948a0
125031b3280
1328549a679
14166ad8a52
15c988c153
hex80b50cc0

2159348928 has 112 divisors (see below), whose sum is σ = 6503798016. Its totient is φ = 625884160.

The previous prime is 2159348923. The next prime is 2159348929. The reversal of 2159348928 is 8298439512.

It is not an unprimeable number, because it can be changed into a prime (2159348921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26350 + ... + 70802.

Almost surely, 22159348928 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 2159348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251899008).

2159348928 is an abundant number, since it is smaller than the sum of its proper divisors (4344449088).

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

2159348928 is a wasteful number, since it uses less digits than its factorization.

2159348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44502 (or 44492 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 2159348928 is about 46468.7952071065. The cubic root of 2159348928 is about 1292.5309220691.

The spelling of 2159348928 in words is "two billion, one hundred fifty-nine million, three hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 44453 48576 88906 133359 177812 266718 355624 488983 533436 711248 977966 1022419 1066872 1422496 1466949 1955932 2044838 2133744 2844992 2933898 3067257 3911864 4089676 4267488 5867796 6134514 7823728 8179352 8534976 11246609 11735592 12269028 15647456 16358704 22493218 23471184 24538056 31294912 32717408 33739827 44986436 46942368 49076112 65434816 67479654 89972872 93884736 98152224 134959308 179945744 196304448 269918616 359891488 539837232 719782976 1079674464 2159348928