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4119993270 = 23251071732473
BaseRepresentation
bin1111010110010010…
…0001101110110110
3101122010111100021100
43311210201232312
531414204241040
61520453430530
7204045236121
oct36544415666
911563440240
104119993270
1118246a0a18
1296b93b446
13508745553
142b126b3b8
15191a78b30
hexf5921bb6

4119993270 has 96 divisors (see below), whose sum is σ = 10878989472. Its totient is φ = 1081668096.

The previous prime is 4119993263. The next prime is 4119993323. The reversal of 4119993270 is 723999114.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1664754 + ... + 1667226.

It is an arithmetic number, because the mean of its divisors is an integer number (113322807).

Almost surely, 24119993270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119993270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439494736).

4119993270 is an abundant number, since it is smaller than the sum of its proper divisors (6758996202).

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

4119993270 is a wasteful number, since it uses less digits than its factorization.

4119993270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 4119993270 is about 64187.1737187423. The cubic root of 4119993270 is about 1603.1180433792.

The spelling of 4119993270 in words is "four billion, one hundred nineteen million, nine hundred ninety-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 173 214 321 346 519 535 642 865 963 1038 1070 1557 1605 1730 1926 2473 2595 3114 3210 4815 4946 5190 7419 7785 9630 12365 14838 15570 18511 22257 24730 37022 37095 44514 55533 74190 92555 111066 111285 166599 185110 222570 264611 277665 333198 427829 529222 555330 793833 832995 855658 1283487 1323055 1587666 1665990 2139145 2381499 2566974 2646110 3850461 3969165 4278290 4762998 6417435 7700922 7938330 11907495 12834870 19252305 23814990 38504610 45777703 91555406 137333109 228888515 274666218 411999327 457777030 686665545 823998654 1373331090 2059996635 4119993270