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20770247960 = 2357119477121
BaseRepresentation
bin10011010110000000…
…001101010100011000
31222121111212220210222
4103112000031110120
5320014140413320
613313002255212
71333464123530
oct232600152430
958544786728
1020770247960
118899299790
124037ab7508
131c60141667
1410107084c0
158186b7825
hex4d600d518

20770247960 has 128 divisors (see below), whose sum is σ = 58334307840. Its totient is φ = 6466099200.

The previous prime is 20770247921. The next prime is 20770247977. The reversal of 20770247960 is 6974207702.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 2913200 + ... + 2920320.

It is an arithmetic number, because the mean of its divisors is an integer number (455736780).

Almost surely, 220770247960 is an apocalyptic number.

20770247960 is a gapful number since it is divisible by the number (20) 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 20770247960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167153920).

20770247960 is an abundant number, since it is smaller than the sum of its proper divisors (37564059880).

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

20770247960 is a wasteful number, since it uses less digits than its factorization.

20770247960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 20770247960 in words is "twenty billion, seven hundred seventy million, two hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 947 1540 1894 3080 3788 4735 6629 7121 7576 9470 10417 13258 14242 18940 20834 26516 28484 33145 35605 37880 41668 49847 52085 53032 56968 66290 71210 72919 78331 83336 99694 104170 132580 142420 145838 156662 199388 208340 249235 265160 284840 291676 313324 364595 391655 398776 416680 498470 548317 583352 626648 729190 783310 996940 1096634 1458380 1566620 1993880 2193268 2741585 2916760 3133240 4386536 5483170 6743587 10966340 13487174 21932680 26974348 33717935 47205109 53948696 67435870 74179457 94410218 134871740 148358914 188820436 236025545 269743480 296717828 370897285 377640872 472051090 519256199 593435656 741794570 944102180 1038512398 1483589140 1888204360 2077024796 2596280995 2967178280 4154049592 5192561990 10385123980 20770247960