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48728967120 = 24335191187353
BaseRepresentation
bin101101011000011110…
…010000011111010000
311122210000011000022000
4231120132100133100
51244244103421440
634215154514000
73343356246351
oct553036203720
9148700130260
1048728967120
1119736260259
12953b295900
134797637872
1425039cdd28
151402ec7730
hexb587907d0

48728967120 has 160 divisors (see below), whose sum is σ = 176678275200. Its totient is φ = 12310465536.

The previous prime is 48728967103. The next prime is 48728967137. The reversal of 48728967120 is 2176982784.

It is a happy number.

48728967120 is a `hidden beast` number, since 487 + 2 + 8 + 96 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48728967103) and next prime (48728967137).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 552637 + ... + 634716.

It is an arithmetic number, because the mean of its divisors is an integer number (1104239220).

Almost surely, 248728967120 is an apocalyptic number.

48728967120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48728967120 is an abundant number, since it is smaller than the sum of its proper divisors (127949308080).

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

48728967120 is a wasteful number, since it uses less digits than its factorization.

48728967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187394 (or 1187382 counting only the distinct ones).

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

The spelling of 48728967120 in words is "forty-eight billion, seven hundred twenty-eight million, nine hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 1187353 2374706 3562059 4749412 5936765 7124118 9498824 10686177 11873530 14248236 17810295 18997648 21372354 22559707 23747060 28496472 32058531 35620590 42744708 45119414 47494120 53430885 56992944 64117062 67679121 71241180 85489416 90238828 94988240 106861770 112798535 128234124 135358242 142482360 160292655 170978832 180477656 203037363 213723540 225597070 256468248 270716484 284964720 320585310 338395605 360955312 406074726 427447080 451194140 512936496 541432968 609112089 641170620 676791210 812149452 854894160 902388280 1015186815 1082865936 1218224178 1282341240 1353582420 1624298904 1804776560 2030373630 2436448356 2564682480 2707164840 3045560445 3248597808 4060747260 4872896712 5414329680 6091120890 8121494520 9745793424 12182241780 16242989040 24364483560 48728967120