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2148640992 = 25351914543
BaseRepresentation
bin1000000000010001…
…1010100011100000
312112202001021100000
42000010122203200
513400023002432
6553112500000
7104150101311
oct20004324340
95482037300
102148640992
11a02940863
124bb6aa600
132831bb804
1416550c608
15c897457c
hex8011a8e0

2148640992 has 144 divisors (see below), whose sum is σ = 6670460160. Its totient is φ = 678471552.

The previous prime is 2148640981. The next prime is 2148641017. The reversal of 2148640992 is 2990468412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21486409922 = 9233316225005488128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140473 + ... + 155015.

It is an arithmetic number, because the mean of its divisors is an integer number (46322640).

Almost surely, 22148640992 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 2148640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335230080).

2148640992 is an abundant number, since it is smaller than the sum of its proper divisors (4521819168).

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

2148640992 is a wasteful number, since it uses less digits than its factorization.

2148640992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2148640992 is about 46353.4356008268. The cubic root of 2148640992 is about 1290.3908820879.

The spelling of 2148640992 in words is "two billion, one hundred forty-eight million, six hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2592 2736 3078 3888 4104 4617 5472 6156 7776 8208 9234 12312 14543 16416 18468 24624 29086 36936 43629 49248 58172 73872 87258 116344 130887 147744 174516 232688 261774 276317 349032 392661 465376 523548 552634 698064 785322 828951 1047096 1105268 1177983 1396128 1570644 1657902 2094192 2210536 2355966 2486853 3141288 3315804 3533949 4188384 4421072 4711932 4973706 6282576 6631608 7067898 7460559 8842144 9423864 9947412 12565152 13263216 14135796 14921118 18847728 19894824 22381677 26526432 28271592 29842236 37695456 39789648 44763354 56543184 59684472 67145031 79579296 89526708 113086368 119368944 134290062 179053416 238737888 268580124 358106832 537160248 716213664 1074320496 2148640992