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49728189744 = 24321740949667
BaseRepresentation
bin101110010100000001…
…111111010100110000
311202100122100210001100
4232110001333110300
51303320404032434
634502251404400
73410211432012
oct562401772460
9152318323040
1049728189744
111a0a92a2a82
129779a53700
1348c6661c5c
14259a5b81b2
151460aa3699
hexb9407f530

49728189744 has 120 divisors (see below), whose sum is σ = 147719585520. Its totient is φ = 15562543104.

The previous prime is 49728189739. The next prime is 49728189751. The reversal of 49728189744 is 44798182794.

49728189744 is a `hidden beast` number, since 497 + 2 + 8 + 18 + 97 + 44 = 666.

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 23 ways as a sum of consecutive naturals, for example, 976399 + ... + 1026065.

It is an arithmetic number, because the mean of its divisors is an integer number (1230996546).

Almost surely, 249728189744 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 49728189744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73859792760).

49728189744 is an abundant number, since it is smaller than the sum of its proper divisors (97991395776).

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

49728189744 is a wasteful number, since it uses less digits than its factorization.

49728189744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50107 (or 50098 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 49728189744 in words is "forty-nine billion, seven hundred twenty-eight million, one hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 409 612 816 818 1224 1227 1636 2448 2454 3272 3681 4908 6544 6953 7362 9816 13906 14724 19632 20859 27812 29448 41718 49667 55624 58896 62577 83436 99334 111248 125154 149001 166872 198668 250308 298002 333744 397336 447003 500616 596004 794672 844339 894006 1001232 1192008 1688678 1788012 2384016 2533017 3377356 3576024 5066034 6754712 7152048 7599051 10132068 13509424 15198102 20264136 20313803 30396204 40528272 40627606 60792408 60941409 81255212 121584816 121882818 162510424 182824227 243765636 325020848 345334651 365648454 487531272 690669302 731296908 975062544 1036003953 1381338604 1462593816 2072007906 2762677208 2925187632 3108011859 4144015812 5525354416 6216023718 8288031624 12432047436 16576063248 24864094872 49728189744