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3813089148 = 2233111272199
BaseRepresentation
bin1110001101000111…
…0001111101111100
3100211201222222222000
43203101301331330
530302122323043
61430211422300
7163330502661
oct34321617574
910751888860
103813089148
111687431350
128a4bb4990
13489c9b08b
142825bba68
15174b542d3
hexe3471f7c

3813089148 has 144 divisors (see below), whose sum is σ = 10924704000. Its totient is φ = 1140622560.

The previous prime is 3813089143. The next prime is 3813089153. The reversal of 3813089148 is 8419803183.

It is an interprime number because it is at equal distance from previous prime (3813089143) and next prime (3813089153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813089143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19161153 + ... + 19161351.

It is an arithmetic number, because the mean of its divisors is an integer number (75866000).

Almost surely, 23813089148 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 3813089148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462352000).

3813089148 is an abundant number, since it is smaller than the sum of its proper divisors (7111614852).

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

3813089148 is a wasteful number, since it uses less digits than its factorization.

3813089148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3813089148 is about 61750.2157729024. The cubic root of 3813089148 is about 1562.2804074804.

The spelling of 3813089148 in words is "three billion, eight hundred thirteen million, eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 127 132 198 199 254 297 381 396 398 508 594 597 762 796 1143 1188 1194 1397 1524 1791 2189 2286 2388 2794 3429 3582 4191 4378 4572 5373 5588 6567 6858 7164 8382 8756 10746 12573 13134 13716 16129 16764 19701 21492 25146 25273 26268 32258 37719 39402 48387 50292 50546 59103 64516 75438 75819 78804 96774 101092 118206 145161 150876 151638 177419 193548 227457 236412 278003 290322 303276 354838 435483 454914 532257 556006 580644 682371 709676 834009 870966 909828 1064514 1112012 1364742 1596771 1668018 1741932 2129028 2502027 2729484 3193542 3209671 3336036 4790313 5004054 6387084 6419342 7506081 9580626 9629013 10008108 12838684 15012162 19161252 19258026 28887039 30024324 35306381 38516052 57774078 70612762 86661117 105919143 115548156 141225524 173322234 211838286 317757429 346644468 423676572 635514858 953272287 1271029716 1906544574 3813089148