Search a number
-
+
45212502412 = 227111273473331
BaseRepresentation
bin101010000110111000…
…000000100110001100
311022200221022002120101
4222012320000212030
51220043400034122
632434220500444
73160256633560
oct520670004614
9138627262511
1045212502412
11181a1308280
1289196aa724
134356c5500c
14228c9876a0
151299417027
hexa86e0098c

45212502412 has 96 divisors (see below), whose sum is σ = 99738648576. Its totient is φ = 17420961600.

The previous prime is 45212502397. The next prime is 45212502427. The reversal of 45212502412 is 21420521254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45212502397) and next prime (45212502427).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 13571587 + ... + 13574917.

It is an arithmetic number, because the mean of its divisors is an integer number (1038944256).

Almost surely, 245212502412 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 45212502412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49869324288).

45212502412 is an abundant number, since it is smaller than the sum of its proper divisors (54526146164).

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

45212502412 is a wasteful number, since it uses less digits than its factorization.

45212502412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 45212502412 in words is "forty-five billion, two hundred twelve million, five hundred two thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 347 508 694 889 1388 1397 1778 2429 2794 3331 3556 3817 4858 5588 6662 7634 9716 9779 13324 15268 19558 23317 26719 36641 39116 44069 46634 53438 73282 88138 93268 106876 146564 176276 256487 308483 423037 484759 512974 616966 846074 969518 1025948 1155857 1233932 1692148 1939036 2311714 2961259 3393313 4623428 4653407 5922518 6786626 8090999 9306814 11845036 12714427 13573252 16181998 18613628 25428854 32363996 32573849 50857708 65147698 89000989 130295396 146793839 178001978 293587678 356003956 587175356 1027556873 1614732229 2055113746 3229464458 4110227492 6458928916 11303125603 22606251206 45212502412