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5073919920 = 243358572741
BaseRepresentation
bin1001011100110110…
…11101111110110000
3111002121110211122000
410232123131332300
540342410414140
62155251414000
7236510415306
oct45633357660
914077424560
105073919920
112174106153
12b972b4300
1362b2706a4
14361c24276
151ea6a8a30
hex12e6ddfb0

5073919920 has 160 divisors (see below), whose sum is σ = 17503611840. Its totient is φ = 1350973440.

The previous prime is 5073919901. The next prime is 5073919951. The reversal of 5073919920 is 299193705.

It is a happy number.

5073919920 is a `hidden beast` number, since 507 + 39 + 1 + 99 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849750 + ... + 1852490.

It is an arithmetic number, because the mean of its divisors is an integer number (109397574).

Almost surely, 25073919920 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 5073919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751805920).

5073919920 is an abundant number, since it is smaller than the sum of its proper divisors (12429691920).

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

5073919920 is a wasteful number, since it uses less digits than its factorization.

5073919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 5073919920 is about 71231.4531650169. The cubic root of 5073919920 is about 1718.3615097805.

The spelling of 5073919920 in words is "five billion, seventy-three million, nine hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 857 1080 1714 2160 2571 2741 3428 4285 5142 5482 6856 7713 8223 8570 10284 10964 12855 13705 13712 15426 16446 17140 20568 21928 23139 24669 25710 27410 30852 32892 34280 38565 41115 41136 43856 46278 49338 51420 54820 61704 65784 68560 74007 77130 82230 92556 98676 102840 109640 115695 123345 123408 131568 148014 154260 164460 185112 197352 205680 219280 231390 246690 296028 308520 328920 370035 370224 394704 462780 493380 592056 617040 657840 740070 925560 986760 1184112 1480140 1851120 1973520 2349037 2960280 4698074 5920560 7047111 9396148 11745185 14094222 18792296 21141333 23490370 28188444 35235555 37584592 42282666 46980740 56376888 63423999 70471110 84565332 93961480 105706665 112753776 126847998 140942220 169130664 187922960 211413330 253695996 281884440 317119995 338261328 422826660 507391992 563768880 634239990 845653320 1014783984 1268479980 1691306640 2536959960 5073919920