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47980764180 = 22335607146381
BaseRepresentation
bin101100101011111000…
…000101110000010100
311120211212021100211000
4230223320011300110
51241231033423210
634013030143300
73316002523566
oct545370056024
9146755240730
1047980764180
1119391988318
1293707b1b30
1346a861c02b
1424724a9336
1513ac482ac0
hexb2be05c14

47980764180 has 96 divisors (see below), whose sum is σ = 149520430080. Its totient is φ = 12773704320.

The previous prime is 47980764149. The next prime is 47980764187. The reversal of 47980764180 is 8146708974.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47980764187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254590 + ... + 400970.

It is an arithmetic number, because the mean of its divisors is an integer number (1557504480).

Almost surely, 247980764180 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 47980764180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74760215040).

47980764180 is an abundant number, since it is smaller than the sum of its proper divisors (101539665900).

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

47980764180 is a wasteful number, since it uses less digits than its factorization.

47980764180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147006 (or 146998 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47980764180 in words is "forty-seven billion, nine hundred eighty million, seven hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 607 1214 1821 2428 3035 3642 5463 6070 7284 9105 10926 12140 16389 18210 21852 27315 32778 36420 54630 65556 81945 109260 146381 163890 292762 327780 439143 585524 731905 878286 1317429 1463810 1756572 2195715 2634858 2927620 3952287 4391430 5269716 6587145 7904574 8782860 13174290 15809148 19761435 26348580 39522870 79045740 88853267 177706534 266559801 355413068 444266335 533119602 799679403 888532670 1066239204 1332799005 1599358806 1777065340 2399038209 2665598010 3198717612 3998397015 4798076418 5331196020 7996794030 9596152836 11995191045 15993588060 23990382090 47980764180