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7998111828 = 22337215110009
BaseRepresentation
bin1110111001011100…
…11000000001010100
3202122101212011211000
413130232120001110
5112340004034303
63401351143300
7402125554200
oct73456300124
922571764730
107998111828
1134347a8883
121672674b30
139a6031865
1455c335b00
1531c275da3
hex1dcb98054

7998111828 has 144 divisors (see below), whose sum is σ = 24283459200. Its totient is φ = 2269814400.

The previous prime is 7998111809. The next prime is 7998111833. The reversal of 7998111828 is 8281118997.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794088 + ... + 804096.

Almost surely, 27998111828 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 7998111828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141729600).

7998111828 is an abundant number, since it is smaller than the sum of its proper divisors (16285347372).

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

7998111828 is a wasteful number, since it uses less digits than its factorization.

7998111828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10172 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The square root of 7998111828 is about 89432.1632747414. The cubic root of 7998111828 is about 1999.8426399526.

It can be divided in two parts, 79981 and 11828, that added together give a square (91809 = 3032).

The spelling of 7998111828 in words is "seven billion, nine hundred ninety-eight million, one hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 151 189 196 252 294 302 378 441 453 588 604 756 882 906 1057 1323 1359 1764 1812 2114 2646 2718 3171 4077 4228 5292 5436 6342 7399 8154 9513 10009 12684 14798 16308 19026 20018 22197 28539 29596 30027 38052 40036 44394 57078 60054 66591 70063 88788 90081 114156 120108 133182 140126 180162 199773 210189 266364 270243 280252 360324 399546 420378 490441 540486 630567 799092 840756 980882 1080972 1261134 1471323 1511359 1891701 1961764 2522268 2942646 3022718 3783402 4413969 4534077 5885292 6045436 7566804 8827938 9068154 10579513 13241907 13602231 17655876 18136308 21159026 26483814 27204462 31738539 40806693 42318052 52967628 54408924 63477078 74056591 81613386 95215617 126954156 148113182 163226772 190431234 222169773 285646851 296226364 380862468 444339546 571293702 666509319 888679092 1142587404 1333018638 1999527957 2666037276 3999055914 7998111828