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47469445680 = 24352772932437
BaseRepresentation
bin101100001101011001…
…100100001000110000
311112112020010200200210
4230031121210020300
51234204134230210
633450202544120
73300223426236
oct541531441060
9145466120623
1047469445680
111914a2a0148
129249508040
1346267031c7
142424608956
15137c630e20
hexb0d664230

47469445680 has 160 divisors (see below), whose sum is σ = 148251386304. Its totient is φ = 12564615168.

The previous prime is 47469445669. The next prime is 47469445687. The reversal of 47469445680 is 8654496474.

It is a self number, because there is not a number n which added to its sum of digits gives 47469445680.

It is not an unprimeable number, because it can be changed into a prime (47469445687) 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, 19477422 + ... + 19479858.

Almost surely, 247469445680 is an apocalyptic number.

47469445680 is a gapful number since it is divisible by the number (40) 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 47469445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74125693152).

47469445680 is an abundant number, since it is smaller than the sum of its proper divisors (100781940624).

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

47469445680 is a wasteful number, since it uses less digits than its factorization.

47469445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 47469445680 in words is "forty-seven billion, four hundred sixty-nine million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277 293 554 586 831 879 1108 1172 1385 1465 1662 1758 2216 2344 2437 2770 2930 3324 3516 4155 4395 4432 4688 4874 5540 5860 6648 7032 7311 8310 8790 9748 11080 11720 12185 13296 14064 14622 16620 17580 19496 22160 23440 24370 29244 33240 35160 36555 38992 48740 58488 66480 70320 73110 81161 97480 116976 146220 162322 194960 243483 292440 324644 405805 486966 584880 649288 675049 714041 811610 973932 1217415 1298576 1350098 1428082 1623220 1947864 2025147 2142123 2434830 2700196 2856164 3246440 3375245 3570205 3895728 4050294 4284246 4869660 5400392 5712328 6492880 6750490 7140410 8100588 8568492 9739320 10125735 10710615 10800784 11424656 13500980 14280820 16201176 17136984 19478640 20251470 21421230 27001960 28561640 32402352 34273968 40502940 42842460 54003920 57123280 81005880 85684920 162011760 171369840 197789357 395578714 593368071 791157428 988946785 1186736142 1582314856 1977893570 2373472284 2966840355 3164629712 3955787140 4746944568 5933680710 7911574280 9493889136 11867361420 15823148560 23734722840 47469445680