Search a number
-
+
45634111410 = 23531531575897
BaseRepresentation
bin101010100000000000…
…010100011110110010
311100210022122001101110
4222200000110132302
51221424313031120
632544121214150
73203566355406
oct524000243662
9140708561343
1045634111410
11183982a2368
128a16931356
1343c33c11b4
1422cc975106
1512c14482e0
hexaa00147b2

45634111410 has 128 divisors (see below), whose sum is σ = 115941279744. Its totient is φ = 11478804480.

The previous prime is 45634111343. The next prime is 45634111477. The reversal of 45634111410 is 1411143654.

It is an interprime number because it is at equal distance from previous prime (45634111343) and next prime (45634111477).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7735582 + ... + 7741478.

It is an arithmetic number, because the mean of its divisors is an integer number (905791248).

Almost surely, 245634111410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45634111410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970639872).

45634111410 is an abundant number, since it is smaller than the sum of its proper divisors (70307168334).

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

45634111410 is a wasteful number, since it uses less digits than its factorization.

45634111410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 45634111410 in words is "forty-five billion, six hundred thirty-four million, one hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 157 159 186 265 310 314 318 465 471 530 785 795 930 942 1570 1590 1643 2355 3286 4710 4867 4929 5897 8215 8321 9734 9858 11794 14601 16430 16642 17691 24335 24645 24963 29202 29485 35382 41605 48670 49290 49926 58970 73005 83210 88455 124815 146010 176910 182807 249630 257951 312541 365614 515902 548421 625082 773853 914035 925829 937623 1096842 1289755 1547706 1562705 1828070 1851658 1875246 2579510 2742105 2777487 3125410 3869265 4629145 4688115 5484210 5554974 7738530 9258290 9376230 9688771 13887435 19377542 27774870 28700699 29066313 48443855 49068937 57401398 58132626 86102097 96887710 98137874 143503495 145331565 147206811 172204194 245344685 287006990 290663130 294413622 430510485 490689370 736034055 861020970 1472068110 1521137047 3042274094 4563411141 7605685235 9126822282 15211370470 22817055705 45634111410