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47749034088 = 2334710939631
BaseRepresentation
bin101100011110000100…
…000111000001101000
311120020201020020220000
4230132010013001220
51240242223042323
633534031303000
73310160043630
oct543604070150
9146221206800
1047749034088
11192830a3048
12930707aa60
13466c605432
14244d7c76c0
151396e5be43
hexb1e107068

47749034088 has 160 divisors (see below), whose sum is σ = 153003164160. Its totient is φ = 13628684160.

The previous prime is 47749034071. The next prime is 47749034131. The reversal of 47749034088 is 88043094774.

47749034088 is a `hidden beast` number, since 4 + 77 + 490 + 3 + 4 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4953033 + ... + 4962663.

It is an arithmetic number, because the mean of its divisors is an integer number (956269776).

Almost surely, 247749034088 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 47749034088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76501582080).

47749034088 is an abundant number, since it is smaller than the sum of its proper divisors (105254130072).

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

47749034088 is a wasteful number, since it uses less digits than its factorization.

47749034088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47749034088 in words is "forty-seven billion, seven hundred forty-nine million, thirty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1093 1134 1512 2186 2268 3279 4372 4536 6558 7651 8744 9631 9837 13116 15302 19262 19674 22953 26232 28893 29511 30604 38524 39348 45906 57786 59022 61208 67417 68859 77048 78696 86679 88533 91812 115572 118044 134834 137718 173358 177066 183624 202251 206577 231144 236088 260037 269668 275436 346716 354132 404502 413154 520074 539336 550872 606753 619731 693432 708264 780111 809004 826308 1040148 1213506 1239462 1560222 1618008 1652616 1820259 2080296 2427012 2478924 3120444 3640518 4854024 4957848 5460777 6240888 7281036 10526683 10921554 14562072 21053366 21843108 31580049 42106732 43686216 63160098 73686781 84213464 94740147 126320196 147373562 189480294 221060343 252640392 284220441 294747124 378960588 442120686 568440882 589494248 663181029 757921176 852661323 884241372 1136881764 1326362058 1705322646 1768482744 1989543087 2273763528 2652724116 3410645292 3979086174 5305448232 5968629261 6821290584 7958172348 11937258522 15916344696 23874517044 47749034088