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48704141920 = 2557237167899
BaseRepresentation
bin101101010110111111…
…100011101001100000
311122201021102202112011
4231112333203221200
51244221230020140
634212510442304
73342635242600
oct552677435140
9148637382464
1048704141920
1119723244765
129532b03394
1347924550b5
1425005aac00
151400c21cea
hexb56fe3a60

48704141920 has 144 divisors (see below), whose sum is σ = 137467789200. Its totient is φ = 16247153664.

The previous prime is 48704141903. The next prime is 48704141921. The reversal of 48704141920 is 2914140784.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48704141921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206131 + ... + 374029.

It is an arithmetic number, because the mean of its divisors is an integer number (954637425).

Almost surely, 248704141920 is an apocalyptic number.

48704141920 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 48704141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68733894600).

48704141920 is an abundant number, since it is smaller than the sum of its proper divisors (88763647280).

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

48704141920 is a wasteful number, since it uses less digits than its factorization.

48704141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167965 (or 167950 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 48704141920 in words is "forty-eight billion, seven hundred four million, one hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 70 74 80 98 112 140 148 160 185 196 224 245 259 280 296 370 392 490 518 560 592 740 784 980 1036 1120 1184 1295 1480 1568 1813 1960 2072 2590 2960 3626 3920 4144 5180 5920 7252 7840 8288 9065 10360 14504 18130 20720 29008 36260 41440 58016 72520 145040 167899 290080 335798 671596 839495 1175293 1343192 1678990 2350586 2686384 3357980 4701172 5372768 5876465 6212263 6715960 8227051 9402344 11752930 12424526 13431920 16454102 18804688 23505860 24849052 26863840 31061315 32908204 37609376 41135255 43485841 47011720 49698104 62122630 65816408 82270510 86971682 94023440 99396208 124245260 131632816 164541020 173943364 188046880 198792416 217429205 248490520 263265632 304400887 329082040 347886728 434858410 496981040 608801774 658164080 695773456 869716820 993962080 1217603548 1316328160 1391546912 1522004435 1739433640 2435207096 3044008870 3478867280 4870414192 6088017740 6957734560 9740828384 12176035480 24352070960 48704141920