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8420972976 = 2433131978919
BaseRepresentation
bin1111101011110110…
…11101100110110000
3210201212112202021000
413311323131212300
5114221232113401
63511334402000
7415452042423
oct76573354660
923655482230
108420972976
1136314686a9
121770200300
13a42818960
1459c56b9ba
15344453186
hex1f5edd9b0

8420972976 has 160 divisors (see below), whose sum is σ = 27401024000. Its totient is φ = 2454665472.

The previous prime is 8420972947. The next prime is 8420972977. The reversal of 8420972976 is 6792790248.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8420972977) 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, 67245 + ... + 146163.

It is an arithmetic number, because the mean of its divisors is an integer number (171256400).

Almost surely, 28420972976 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 8420972976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700512000).

8420972976 is an abundant number, since it is smaller than the sum of its proper divisors (18980051024).

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

8420972976 is a wasteful number, since it uses less digits than its factorization.

8420972976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78968 (or 78956 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8420972976 is about 91765.8595339247. The cubic root of 8420972976 is about 2034.4831215487.

The spelling of 8420972976 in words is "eight billion, four hundred twenty million, nine hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 17784 26676 35568 53352 78919 106704 157838 236757 315676 473514 631352 710271 947028 1025947 1262704 1420542 1499461 1894056 2051894 2130813 2841084 2998922 3077841 3788112 4103788 4261626 4498383 5682168 5997844 6155682 8207576 8523252 8996766 9233523 11364336 11995688 12311364 13495149 16415152 17046504 17993532 18467046 19492993 23991376 24622728 26990298 27700569 34093008 35987064 36934092 38985986 40485447 49245456 53980596 55401138 58478979 71974128 73868184 77971972 80970894 107961192 110802276 116957958 147736368 155943944 161941788 175436937 215922384 221604552 233915916 311887888 323883576 350873874 443209104 467831832 526310811 647767152 701747748 935663664 1052621622 1403495496 2105243244 2806990992 4210486488 8420972976