Search a number
-
+
1991679744 = 28317791931
BaseRepresentation
bin111011010110110…
…1001111100000000
312010210200210222110
41312231221330000
513034332222434
6525344335320
7100232666325
oct16655517400
95123623873
101991679744
1193228451a
12477014540
13259823232
1414c730b4c
15b9cbc4e9
hex76b69f00

1991679744 has 144 divisors (see below), whose sum is σ = 5686571520. Its totient is φ = 616611840.

The previous prime is 1991679737. The next prime is 1991679797. The reversal of 1991679744 is 4479761991.

1991679744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030459 + ... + 1032389.

It is an arithmetic number, because the mean of its divisors is an integer number (39490080).

Almost surely, 21991679744 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 1991679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843285760).

1991679744 is an abundant number, since it is smaller than the sum of its proper divisors (3694891776).

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

1991679744 is a wasteful number, since it uses less digits than its factorization.

1991679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2032 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The square root of 1991679744 is about 44628.2393110013. The cubic root of 1991679744 is about 1258.1714772194.

The spelling of 1991679744 in words is "one billion, nine hundred ninety-one million, six hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 256 272 316 384 408 474 544 632 768 816 948 1088 1264 1343 1632 1896 1931 2176 2528 2686 3264 3792 3862 4029 4352 5056 5372 5793 6528 7584 7724 8058 10112 10744 11586 13056 15168 15448 16116 20224 21488 23172 30336 30896 32232 32827 42976 46344 60672 61792 64464 65654 85952 92688 98481 123584 128928 131308 152549 171904 185376 196962 247168 257856 262616 305098 343808 370752 393924 457647 494336 515712 525232 610196 741504 787848 915294 1031424 1050464 1220392 1483008 1575696 1830588 2100928 2440784 2593333 3151392 3661176 4201856 4881568 5186666 6302784 7322352 7779999 8403712 9763136 10373332 12605568 14644704 15559998 19526272 20746664 25211136 29289408 31119996 39052544 41493328 58578816 62239992 82986656 117157632 124479984 165973312 248959968 331946624 497919936 663893248 995839872 1991679744