Search a number
-
+
73193929480 = 23572317896353
BaseRepresentation
bin100010000101010110…
…0101011101100001000
320222221000021212110001
41010022230223230020
52144400121220410
653342543532344
75200546064260
oct1041254535410
9228830255401
1073193929480
1129050079611
12122285ba0b4
136b9606c059
143784ca07a0
151d85c1033a
hex110ab2bb08

73193929480 has 128 divisors (see below), whose sum is σ = 196536844800. Its totient is φ = 23986778112.

The previous prime is 73193929451. The next prime is 73193929519. The reversal of 73193929480 is 8492939137.

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, 11517984 + ... + 11524336.

It is an arithmetic number, because the mean of its divisors is an integer number (1535444100).

Almost surely, 273193929480 is an apocalyptic number.

73193929480 is a gapful number since it is divisible by the number (70) 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 73193929480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98268422400).

73193929480 is an abundant number, since it is smaller than the sum of its proper divisors (123342915320).

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

73193929480 is a wasteful number, since it uses less digits than its factorization.

73193929480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 73193929480 in words is "seventy-three billion, one hundred ninety-three million, nine hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 1789 3220 3578 6353 6440 7156 8945 12523 12706 14312 17890 25046 25412 31765 35780 41147 44471 50092 50824 62615 63530 71560 82294 88942 100184 125230 127060 146119 164588 177884 205735 222355 250460 254120 288029 292238 329176 355768 411470 444710 500920 576058 584476 730595 822940 889420 1022833 1152116 1168952 1440145 1461190 1645880 1778840 2045666 2304232 2880290 2922380 4091332 5114165 5760580 5844760 8182664 10228330 11365517 11521160 20456660 22731034 40913320 45462068 56827585 79558619 90924136 113655170 159117238 227310340 261406891 318234476 397793095 454620680 522813782 636468952 795586190 1045627564 1307034455 1591172380 1829848237 2091255128 2614068910 3182344760 3659696474 5228137820 7319392948 9149241185 10456275640 14638785896 18298482370 36596964740 73193929480