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103823772680 = 23547229349691
BaseRepresentation
bin110000010110001100…
…0010000110000001000
3100220222122202010021002
41200230120100300020
53200112341211210
6115410155434132
710333564335545
oct1405430206010
9326878663232
10103823772680
11400388a4111
1218156455948
139a37a7b524
14504cc1dbcc
152a79c9e4a5
hex182c610c08

103823772680 has 128 divisors (see below), whose sum is σ = 240649920000. Its totient is φ = 40294056960.

The previous prime is 103823772659. The next prime is 103823772713. The reversal of 103823772680 is 86277328301.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

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, 150251135 + ... + 150251825.

It is an arithmetic number, because the mean of its divisors is an integer number (1880077500).

Almost surely, 2103823772680 is an apocalyptic number.

103823772680 is a gapful number since it is divisible by the number (10) 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 103823772680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120324960000).

103823772680 is an abundant number, since it is smaller than the sum of its proper divisors (136826147320).

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

103823772680 is a wasteful number, since it uses less digits than its factorization.

103823772680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 103823772680 in words is "one hundred three billion, eight hundred twenty-three million, seven hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 229 235 349 376 458 470 691 698 916 940 1145 1382 1396 1745 1832 1880 2290 2764 2792 3455 3490 4580 5528 6910 6980 9160 10763 13820 13960 16403 21526 27640 32477 32806 43052 53815 64954 65612 79921 82015 86104 107630 129908 131224 158239 159842 162385 164030 215260 241159 259816 316478 319684 324770 328060 399605 430520 482318 632956 639368 649540 656120 791195 799210 964636 1205795 1265912 1299080 1582390 1598420 1929272 2411590 3164780 3196840 3756287 4823180 6329560 7437233 7512574 9646360 11334473 14874466 15025148 18781435 22668946 29748932 30050296 37186165 37562870 45337892 55225411 56672365 59497864 74372330 75125740 90675784 110450822 113344730 148744660 150251480 220901644 226689460 276127055 297489320 441803288 453378920 552254110 1104508220 2209016440 2595594317 5191188634 10382377268 12977971585 20764754536 25955943170 51911886340 103823772680