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2744012148 = 2231923432283
BaseRepresentation
bin1010001110001110…
…0100110101110100
321002020100021000120
42203203210311310
521104431342043
61132141411540
7124666501263
oct24343446564
97066307016
102744012148
111188a17a39
12646b69bb0
13349656537
141c060c5da
15110d7a983
hexa38e4d74

2744012148 has 144 divisors (see below), whose sum is σ = 7225505280. Its totient is φ = 806718528.

The previous prime is 2744012113. The next prime is 2744012153. The reversal of 2744012148 is 8412104472.

2744012148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 9696015 + ... + 9696297.

It is an arithmetic number, because the mean of its divisors is an integer number (50177120).

Almost surely, 22744012148 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 2744012148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612752640).

2744012148 is an abundant number, since it is smaller than the sum of its proper divisors (4481493132).

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

2744012148 is a wasteful number, since it uses less digits than its factorization.

2744012148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2744012148 is about 52383.3193679057. The cubic root of 2744012148 is about 1400.0020659833.

The spelling of 2744012148 in words is "two billion, seven hundred forty-four million, twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 43 46 57 69 76 86 92 114 129 138 172 228 258 276 283 437 516 566 817 849 874 989 1132 1311 1634 1698 1748 1849 1978 2451 2622 2967 3268 3396 3698 3956 4902 5244 5377 5547 5934 6509 7396 9804 10754 11094 11868 12169 13018 16131 18791 19527 21508 22188 24338 26036 32262 35131 36507 37582 39054 42527 48676 56373 64524 70262 73014 75164 78108 85054 105393 112746 123671 127581 140524 146028 170108 210786 225492 231211 247342 255162 279887 371013 421572 462422 494684 510324 523267 559774 693633 742026 808013 839661 924844 1046534 1119548 1387266 1484052 1569801 1616026 1679322 2093068 2424039 2774532 3139602 3232052 3358644 4848078 5317853 6279204 9696156 9942073 10635706 12035141 15953559 19884146 21271412 24070282 29826219 31907118 36105423 39768292 48140564 59652438 63814236 72210846 119304876 144421692 228667679 457335358 686003037 914670716 1372006074 2744012148