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48768377224 = 23717195095297
BaseRepresentation
bin101101011010110100…
…100110000110001000
311122212202022020210111
4231122310212012020
51244334201032344
634223123324104
73344345236540
oct553264460610
9148782266714
1048768377224
1119756528696
129550520634
1347a2855a58
142508d2c320
1514066ae834
hexb5ad26188

48768377224 has 128 divisors (see below), whose sum is σ = 116725536000. Its totient is φ = 18595823616.

The previous prime is 48768377159. The next prime is 48768377261. The reversal of 48768377224 is 42277386784.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9204144 + ... + 9209440.

It is an arithmetic number, because the mean of its divisors is an integer number (911918250).

Almost surely, 248768377224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48768377224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58362768000).

48768377224 is an abundant number, since it is smaller than the sum of its proper divisors (67957158776).

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

48768377224 is a wasteful number, since it uses less digits than its factorization.

48768377224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5851 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 58.

The spelling of 48768377224 in words is "forty-eight billion, seven hundred sixty-eight million, three hundred seventy-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 509 532 646 952 1018 1064 1292 2036 2261 2584 3563 4072 4522 5297 7126 8653 9044 9671 10594 14252 17306 18088 19342 21188 28504 34612 37079 38684 42376 60571 67697 69224 74158 77368 90049 100643 121142 135394 148316 164407 180098 201286 242284 270788 296632 328814 360196 402572 484568 541576 630343 657628 704501 720392 805144 1150849 1260686 1315256 1409002 1710931 2301698 2521372 2696173 2818004 3421862 4603396 5042744 5392346 5636008 6843724 9206792 10784692 11976517 13687448 18873211 21569384 23953034 37746422 45834941 47906068 51227287 75492844 91669882 95812136 102454574 150985688 183339764 204909148 320844587 358591009 366679528 409818296 641689174 717182018 870863879 1283378348 1434364036 1741727758 2566756696 2868728072 3483455516 6096047153 6966911032 12192094306 24384188612 48768377224