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48587651040 = 2535172350257
BaseRepresentation
bin101101010000000011…
…001011011111100000
311122102011020102002010
4231100003023133200
51244001414313130
634153145552520
73340022135205
oct552003133740
9148364212063
1048587651040
111967350a405
1294bbaa5740
134774289496
1424ccd25cac
1513e58b10b0
hexb500cb7e0

48587651040 has 144 divisors (see below), whose sum is σ = 162584159472. Its totient is φ = 12194512896.

The previous prime is 48587651033. The next prime is 48587651051. The reversal of 48587651040 is 4015678584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36409 + ... + 313848.

It is an arithmetic number, because the mean of its divisors is an integer number (1129056663).

Almost surely, 248587651040 is an apocalyptic number.

48587651040 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 48587651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81292079736).

48587651040 is an abundant number, since it is smaller than the sum of its proper divisors (113996508432).

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

48587651040 is a wasteful number, since it uses less digits than its factorization.

48587651040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350309 (or 350284 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 48587651040 in words is "forty-eight billion, five hundred eighty-seven million, six hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3468 4080 4335 4624 5780 6936 8160 8670 9248 11560 13872 17340 23120 27744 34680 46240 69360 138720 350257 700514 1050771 1401028 1751285 2101542 2802056 3502570 4203084 5253855 5604112 5954369 7005140 8406168 10507710 11208224 11908738 14010280 16812336 17863107 21015420 23817476 28020560 29771845 33624672 35726214 42030840 47634952 56041120 59543690 71452428 84061680 89315535 95269904 101224273 119087380 142904856 168123360 178631070 190539808 202448546 238174760 285809712 303672819 357262140 404897092 476349520 506121365 571619424 607345638 714524280 809794184 952699040 1012242730 1214691276 1429048560 1518364095 1619588368 2024485460 2429382552 2858097120 3036728190 3239176736 4048970920 4858765104 6073456380 8097941840 9717530208 12146912760 16195883680 24293825520 48587651040