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2064997344 = 253171399103
BaseRepresentation
bin111101100010101…
…0101101111100000
312022220122201211010
41323011111233200
513212114403334
6540524020520
7102113121264
oct17305255740
95286581733
102064997344
1196a701083
12497691740
1326ba83b27
141583780a4
15c14510e9
hex7b155be0

2064997344 has 96 divisors (see below), whose sum is σ = 5781404160. Its totient is φ = 643110912.

The previous prime is 2064997283. The next prime is 2064997379. The reversal of 2064997344 is 4437994602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2064997293 and 2064997302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222297 + ... + 231399.

It is an arithmetic number, because the mean of its divisors is an integer number (60222960).

Almost surely, 22064997344 is an apocalyptic number.

2064997344 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 2064997344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890702080).

2064997344 is an abundant number, since it is smaller than the sum of its proper divisors (3716406816).

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

2064997344 is a wasteful number, since it uses less digits than its factorization.

2064997344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 2064997344 is about 45442.2418461061. The cubic root of 2064997344 is about 1273.4243962055.

The spelling of 2064997344 in words is "two billion, sixty-four million, nine hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 139 204 272 278 408 417 544 556 816 834 1112 1632 1668 2224 2363 3336 4448 4726 6672 7089 9103 9452 13344 14178 18206 18904 27309 28356 36412 37808 54618 56712 72824 75616 109236 113424 145648 154751 218472 226848 291296 309502 436944 464253 619004 873888 928506 1238008 1265317 1857012 2476016 2530634 3714024 3795951 4952032 5061268 7428048 7591902 10122536 14856096 15183804 20245072 21510389 30367608 40490144 43020778 60735216 64531167 86041556 121470432 129062334 172083112 258124668 344166224 516249336 688332448 1032498672 2064997344