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5151785808 = 24313174710333
BaseRepresentation
bin1001100110001001…
…00000001101010000
3111022000222211112210
410303010200031100
541022324121213
62211112352120
7241444312461
oct46304401520
914260884483
105151785808
112204059a24
12bb93a5640
13641434590
1436c2d2d68
1520243a0c3
hex133120350

5151785808 has 160 divisors (see below), whose sum is σ = 15500007936. Its totient is φ = 1460035584.

The previous prime is 5151785803. The next prime is 5151785827. The reversal of 5151785808 is 8085871515.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151785803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493410 + ... + 503742.

Almost surely, 25151785808 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 5151785808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750003968).

5151785808 is an abundant number, since it is smaller than the sum of its proper divisors (10348222128).

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

5151785808 is a wasteful number, since it uses less digits than its factorization.

5151785808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 48.

The square root of 5151785808 is about 71775.9417075109. The cubic root of 5151785808 is about 1727.1070864788.

The spelling of 5151785808 in words is "five billion, one hundred fifty-one million, seven hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 68 78 94 102 104 136 141 156 188 204 208 221 272 282 312 376 408 442 564 611 624 663 752 799 816 884 1128 1222 1326 1598 1768 1833 2256 2397 2444 2652 3196 3536 3666 4794 4888 5304 6392 7332 9588 9776 10333 10387 10608 12784 14664 19176 20666 20774 29328 30999 31161 38352 41332 41548 61998 62322 82664 83096 123996 124644 134329 165328 166192 175661 247992 249288 268658 351322 402987 485651 495984 498576 526983 537316 702644 805974 971302 1053966 1074632 1405288 1456953 1611948 1942604 2107932 2149264 2283593 2810576 2913906 3223896 3885208 4215864 4567186 5827812 6313463 6447792 6850779 7770416 8256067 8431728 9134372 11655624 12626926 13701558 16512134 18268744 18940389 23311248 24768201 25253852 27403116 33024268 36537488 37880778 49536402 50507704 54806232 66048536 75761556 99072804 101015408 107328871 109612464 132097072 151523112 198145608 214657742 303046224 321986613 396291216 429315484 643973226 858630968 1287946452 1717261936 2575892904 5151785808