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47450009976 = 23323614433181
BaseRepresentation
bin101100001100001111…
…011011000101111000
311112110212120020220220
4230030033123011320
51234134200304401
633444230220040
73266566300335
oct541417330570
9145425506826
1047450009976
111913a325886
129242ab4620
1346226898a5
142421bc998c
15137aa92336
hexb0c3db178

47450009976 has 128 divisors (see below), whose sum is σ = 126135498240. Its totient is φ = 14842713600.

The previous prime is 47450009927. The next prime is 47450009983. The reversal of 47450009976 is 67990005474.

47450009976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14915106 + ... + 14918286.

It is an arithmetic number, because the mean of its divisors is an integer number (985433580).

Almost surely, 247450009976 is an apocalyptic number.

47450009976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47450009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63067749120).

47450009976 is an abundant number, since it is smaller than the sum of its proper divisors (78685488264).

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

47450009976 is a wasteful number, since it uses less digits than its factorization.

47450009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 47450009976 in words is "forty-seven billion, four hundred fifty million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 443 488 552 732 886 1329 1403 1464 1772 2658 2806 3181 3544 4209 5316 5612 6362 8418 9543 10189 10632 11224 12724 16836 19086 20378 25448 27023 30567 33672 38172 40756 54046 61134 73163 76344 81069 81512 108092 122268 146326 162138 194041 216184 219489 244536 292652 324276 388082 438978 582123 585304 621529 648552 776164 877956 1164246 1243058 1409183 1552328 1755912 1864587 2328492 2486116 2818366 3729174 4227549 4462943 4656984 4972232 5636732 7458348 8455098 8925886 11273464 13388829 14916696 16910196 17851772 26777658 32411209 33820392 35703544 53555316 64822418 85960163 97233627 107110632 129644836 171920326 194467254 257880489 259289672 343840652 388934508 515760978 687681304 777869016 1031521956 1977083749 2063043912 3954167498 5931251247 7908334996 11862502494 15816669992 23725004988 47450009976