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5148337590 = 2335113315237
BaseRepresentation
bin1001100101101110…
…10110010110110110
3111021210111122111000
410302313112112312
541020433300330
62210510424130
7241403101404
oct46267262666
914253448430
105148337590
112202114260
12bb8202046
136407c7c06
1436ba76474
15201ea8560
hex132dd65b6

5148337590 has 128 divisors (see below), whose sum is σ = 15025098240. Its totient is φ = 1244073600.

The previous prime is 5148337573. The next prime is 5148337591. The reversal of 5148337590 is 957338415.

5148337590 is a `hidden beast` number, since 51 + 4 + 8 + 3 + 3 + 7 + 590 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148337591) 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 63 ways as a sum of consecutive naturals, for example, 980452 + ... + 985688.

It is an arithmetic number, because the mean of its divisors is an integer number (117383580).

Almost surely, 25148337590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5148337590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512549120).

5148337590 is an abundant number, since it is smaller than the sum of its proper divisors (9876760650).

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

5148337590 is a wasteful number, since it uses less digits than its factorization.

5148337590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5148337590 is about 71751.9169778759. The cubic root of 5148337590 is about 1726.7216686083.

The spelling of 5148337590 in words is "five billion, one hundred forty-eight million, three hundred thirty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 331 495 594 662 990 993 1485 1655 1986 2970 2979 3310 3641 4965 5237 5958 7282 8937 9930 10474 10923 14895 15711 17874 18205 21846 26185 29790 31422 32769 36410 44685 47133 52370 54615 57607 65538 78555 89370 94266 98307 109230 115214 141399 157110 163845 172821 196614 235665 282798 288035 327690 345642 471330 491535 518463 576070 706995 864105 983070 1036926 1413990 1555389 1728210 1733447 2592315 3110778 3466894 5184630 5200341 7776945 8667235 10400682 15553890 15601023 17334470 19067917 26001705 31202046 38135834 46803069 52003410 57203751 78005115 93606138 95339585 114407502 156010230 171611253 190679170 234015345 286018755 343222506 468030690 514833759 572037510 858056265 1029667518 1716112530 2574168795 5148337590