Search a number
-
+
80019003924 = 22334326716451
BaseRepresentation
bin100101010000110000…
…0010001101000010100
321122112122212120111000
41022201200101220110
52302334331111144
6100432112543300
75531642211426
oct1124140215024
9248478776430
1080019003924
1130a32707002
1213612251b30
137713059a42
143c314c4816
152134ec4769
hex12a1811a14

80019003924 has 96 divisors (see below), whose sum is σ = 212393646080. Its totient is φ = 26038908000.

The previous prime is 80019003923. The next prime is 80019003959. The reversal of 80019003924 is 42930091008.

80019003924 is a `hidden beast` number, since 80 + 0 + 190 + 0 + 392 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80019003923) 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, 12400899 + ... + 12407349.

Almost surely, 280019003924 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 80019003924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106196823040).

80019003924 is an abundant number, since it is smaller than the sum of its proper divisors (132374642156).

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

80019003924 is a wasteful number, since it uses less digits than its factorization.

80019003924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9178 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 80019003924 in words is "eighty billion, nineteen million, three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 2671 4644 5342 6451 8013 10684 12902 16026 19353 24039 25804 32052 38706 48078 58059 72117 77412 96156 114853 116118 144234 174177 229706 232236 277393 288468 344559 348354 459412 554786 689118 696708 832179 1033677 1109572 1378236 1664358 2067354 2496537 3101031 3328716 4134708 4993074 6202062 7489611 9986148 12404124 14979222 17230621 29958444 34461242 51691863 68922484 103383726 155075589 206767452 310151178 465226767 620302356 740916703 930453534 1481833406 1860907068 2222750109 2963666812 4445500218 6668250327 8891000436 13336500654 20004750981 26673001308 40009501962 80019003924