Search a number
-
+
45837515433480 = 23351483530348571
BaseRepresentation
bin10100110110000011000001…
…10100110010011000001000
320000022000122021002100200120
422123001200310302120020
522002000212422332410
6241253244111103240
712440436235402431
oct1233014064623010
9200260567070616
1045837515433480
1113672643531801
12518374b211b20
131c765c7a03234
14b46794800488
15547514039570
hex29b060d32608

45837515433480 has 128 divisors (see below), whose sum is σ = 137634054405120. Its totient is φ = 12212540271360.

The previous prime is 45837515433461. The next prime is 45837515433499. The reversal of 45837515433480 is 8433451573854.

It is an interprime number because it is at equal distance from previous prime (45837515433461) and next prime (45837515433499).

It is a super-2 number, since 2×458375154334802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943697595 + ... + 943746165.

It is an arithmetic number, because the mean of its divisors is an integer number (1075266050040).

Almost surely, 245837515433480 is an apocalyptic number.

45837515433480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45837515433480 is an abundant number, since it is smaller than the sum of its proper divisors (91796538971640).

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

45837515433480 is a wasteful number, since it uses less digits than its factorization.

45837515433480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55371 (or 55367 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 60.

The spelling of 45837515433480 in words is "forty-five trillion, eight hundred thirty-seven billion, five hundred fifteen million, four hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1483 2966 4449 5303 5932 7415 8898 10606 11864 14830 15909 17796 21212 22245 26515 29660 31818 35592 42424 44490 48571 53030 59320 63636 79545 88980 97142 106060 127272 145713 159090 177960 194284 212120 242855 291426 318180 388568 485710 582852 636360 728565 971420 1165704 1457130 1942840 2914260 5828520 7864349 15728698 23593047 31457396 39321745 47186094 62914792 72030793 78643490 94372188 117965235 144061586 157286980 188744376 216092379 235930470 257572013 288123172 314573960 360153965 432184758 471860940 515144026 576246344 720307930 772716039 864369516 943721880 1030288052 1080461895 1287860065 1440615860 1545432078 1728739032 2060576104 2160923790 2575720130 2881231720 3090864156 3863580195 4321847580 5151440260 6181728312 7727160390 8643695160 10302880520 15454320780 30908641560 381979295279 763958590558 1145937885837 1527917181116 1909896476395 2291875771674 3055834362232 3819792952790 4583751543348 5729689429185 7639585905580 9167503086696 11459378858370 15279171811160 22918757716740 45837515433480