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4922358672 = 2437115922573
BaseRepresentation
bin1001001010110010…
…10011101110010000
3110201001021201200110
410211121103232100
540040110434142
62132235121320
7232660233630
oct44531235620
913631251613
104922358672
1120a65a7a20
12b545a3240
13605a45c8a
14349a506c0
151dc21b99c
hex125653b90

4922358672 has 160 divisors (see below), whose sum is σ = 16123253760. Its totient is φ = 1256808960.

The previous prime is 4922358659. The next prime is 4922358673. The reversal of 4922358672 is 2768532294.

It is a super-2 number, since 2×49223586722 = 48459229791627207168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4922358673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206778 + ... + 229350.

It is an arithmetic number, because the mean of its divisors is an integer number (100770336).

Almost surely, 24922358672 is an apocalyptic number.

4922358672 is a gapful number since it is divisible by the number (42) 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 4922358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061626880).

4922358672 is an abundant number, since it is smaller than the sum of its proper divisors (11200895088).

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

4922358672 is a wasteful number, since it uses less digits than its factorization.

4922358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22661 (or 22655 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 4922358672 is about 70159.5230314460. The cubic root of 4922358672 is about 1701.0787469320.

The spelling of 4922358672 in words is "four billion, nine hundred twenty-two million, three hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 59 66 77 84 88 112 118 132 154 168 176 177 231 236 264 308 336 354 413 462 472 528 616 649 708 826 924 944 1232 1239 1298 1416 1652 1848 1947 2478 2596 2832 3304 3696 3894 4543 4956 5192 6608 7788 9086 9912 10384 13629 15576 18172 19824 22573 27258 31152 36344 45146 54516 67719 72688 90292 109032 135438 158011 180584 218064 248303 270876 316022 361168 474033 496606 541752 632044 744909 948066 993212 1083504 1264088 1331807 1489818 1738121 1896132 1986424 2528176 2663614 2979636 3476242 3792264 3972848 3995421 5214363 5327228 5959272 6952484 7584528 7990842 9322649 10428726 10654456 11918544 13904968 14649877 15981684 18645298 20857452 21308912 27809936 27967947 29299754 31963368 37290596 41714904 43949631 55935894 58599508 63926736 74581192 83429808 87899262 102549139 111871788 117199016 149162384 175798524 205098278 223743576 234398032 307647417 351597048 410196556 447487152 615294834 703194096 820393112 1230589668 1640786224 2461179336 4922358672