Search a number
-
+
4998378880 = 275114117317
BaseRepresentation
bin1001010011110110…
…10011010110000000
3110220100022221210201
410221323103112000
540214041111010
62143552334544
7234602343115
oct45173232600
913810287721
104998378880
112135500040
12b75b44454
13618711a51
14355b9c90c
151e3c3623a
hex129ed3580

4998378880 has 128 divisors (see below), whose sum is σ = 13354256160. Its totient is φ = 1773158400.

The previous prime is 4998378871. The next prime is 4998378919. The reversal of 4998378880 is 888738994.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 279982 + ... + 297298.

Almost surely, 24998378880 is an apocalyptic number.

4998378880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4998378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677128080).

4998378880 is an abundant number, since it is smaller than the sum of its proper divisors (8355877280).

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

4998378880 is a wasteful number, since it uses less digits than its factorization.

4998378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 64.

The square root of 4998378880 is about 70699.2141399040. The cubic root of 4998378880 is about 1709.7911216199.

The spelling of 4998378880 in words is "four billion, nine hundred ninety-eight million, three hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 320 328 352 410 440 451 640 656 704 820 880 902 1312 1408 1640 1760 1804 2255 2624 3280 3520 3608 4510 5248 6560 7040 7216 9020 13120 14432 17317 18040 26240 28864 34634 36080 57728 69268 72160 86585 138536 144320 173170 190487 277072 288640 346340 380974 554144 692680 709997 761948 952435 1108288 1385360 1419994 1523896 1904870 2216576 2770720 2839988 3047792 3549985 3809740 5541440 5679976 6095584 7099970 7619480 7809967 11082880 11359952 12191168 14199940 15238960 15619934 22719904 24382336 28399880 30477920 31239868 39049835 45439808 56799760 60955840 62479736 78099670 90879616 113599520 121911680 124959472 156199340 227199040 249918944 312398680 454398080 499837888 624797360 999675776 1249594720 2499189440 4998378880