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2148639504 = 243115376781
BaseRepresentation
bin1000000000010001…
…1010001100010000
312112202001012021220
42000010122030100
513400022431004
6553112445040
7104150064054
oct20004321420
95482035256
102148639504
11a0293a730
124bb6a9780
132831bac2b
1416550bc64
15c8973dd9
hex8011a310

2148639504 has 80 divisors (see below), whose sum is σ = 6169587264. Its totient is φ = 638809600.

The previous prime is 2148639499. The next prime is 2148639511. The reversal of 2148639504 is 4059368412.

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, 10407 + ... + 66374.

Almost surely, 22148639504 is an apocalyptic number.

2148639504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148639504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084793632).

2148639504 is an abundant number, since it is smaller than the sum of its proper divisors (4020947760).

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

2148639504 is a wasteful number, since it uses less digits than its factorization.

2148639504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76856 (or 76850 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2148639504 is about 46353.4195502338. The cubic root of 2148639504 is about 1290.3905842094.

The spelling of 2148639504 in words is "two billion, one hundred forty-eight million, six hundred thirty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 27984 76781 153562 230343 307124 460686 614248 844591 921372 1228496 1689182 1842744 2533773 3378364 3685488 4069393 5067546 6756728 8138786 10135092 12208179 13513456 16277572 20270184 24416358 32555144 40540368 44763323 48832716 65110288 89526646 97665432 134289969 179053292 195330864 268579938 358106584 537159876 716213168 1074319752 2148639504