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45224152380 = 223251161936899
BaseRepresentation
bin101010000111100100…
…011100110100111100
311022201202012222022200
4222013210130310330
51220104340334010
632435314311500
73160460644521
oct520744346474
9138652188280
1045224152380
11181a7945050
128921588590
1343594a38a4
14229033b148
15129a468cc0
hexa8791cd3c

45224152380 has 144 divisors (see below), whose sum is σ = 149896656000. Its totient is φ = 10945422720.

The previous prime is 45224152357. The next prime is 45224152381. The reversal of 45224152380 is 8325142254.

45224152380 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 415 + 238 + 0 = 666.

45224152380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45224152381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207171 + ... + 1244069.

It is an arithmetic number, because the mean of its divisors is an integer number (1040949000).

Almost surely, 245224152380 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 45224152380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74948328000).

45224152380 is an abundant number, since it is smaller than the sum of its proper divisors (104672503620).

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

45224152380 is a wasteful number, since it uses less digits than its factorization.

45224152380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37544 (or 37539 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45224152380 in words is "forty-five billion, two hundred twenty-four million, one hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 619 660 990 1238 1857 1980 2476 3095 3714 5571 6190 6809 7428 9285 11142 12380 13618 18570 20427 22284 27236 27855 34045 36899 37140 40854 55710 61281 68090 73798 81708 102135 110697 111420 122562 136180 147596 184495 204270 221394 245124 306405 332091 368990 405889 408540 442788 553485 612810 664182 737980 811778 1106970 1217667 1225620 1328364 1623556 1660455 2029445 2213940 2435334 3320910 3653001 4058890 4870668 6088335 6641820 7306002 8117780 12176670 14612004 18265005 22840481 24353340 36530010 45680962 68521443 73060020 91361924 114202405 137042886 205564329 228404810 251245291 274085772 342607215 411128658 456809620 502490582 685214430 753735873 822257316 1004981164 1027821645 1256226455 1370428860 1507471746 2055643290 2261207619 2512452910 3014943492 3768679365 4111286580 4522415238 5024905820 7537358730 9044830476 11306038095 15074717460 22612076190 45224152380