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4978730928248 = 23711503110914489
BaseRepresentation
bin100100001110011001101…
…1111010000100001111000
3122121221222022121022222222
41020130303133100201320
51123032420104200443
614331110350303212
71022462410430450
oct110346337204170
918557868538888
104978730928248
11164a5168a5110
12684ab2ab7b08
132a16527bcccc
14132d86b10d60
1589795374468
hex487337d0878

4978730928248 has 128 divisors (see below), whose sum is σ = 11673051264000. Its totient is φ = 1934029777920.

The previous prime is 4978730928239. The next prime is 4978730928293. The reversal of 4978730928248 is 8428290378794.

It is a Cunningham number, because it is equal to 22313072-1.

It is a congruent number.

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, 343614188 + ... + 343628676.

It is an arithmetic number, because the mean of its divisors is an integer number (91195713000).

Almost surely, 24978730928248 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 4978730928248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836525632000).

4978730928248 is an abundant number, since it is smaller than the sum of its proper divisors (6694320335752).

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

4978730928248 is a wasteful number, since it uses less digits than its factorization.

4978730928248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 71.

The spelling of 4978730928248 in words is "four trillion, nine hundred seventy-eight billion, seven hundred thirty million, nine hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 503 616 1006 1109 2012 2218 3521 4024 4436 5533 7042 7763 8872 11066 12199 14084 14489 15526 22132 24398 28168 28978 31052 38731 44264 48796 57956 62104 77462 85393 97592 101423 115912 154924 159379 170786 202846 309848 318758 341572 405692 557827 637516 683144 811384 1115653 1115654 1275032 2231306 2231308 3904789 4462612 4462616 6136097 7287967 7809578 8925224 12272194 14575934 15619156 16068301 24544388 29151868 31238312 32136602 42952679 49088776 51015769 58303736 64273204 80167637 85905358 102031538 112478107 128546408 160335274 171810716 176751311 204063076 224956214 320670548 343621432 353502622 408126152 449912428 561173459 641341096 707005244 899824856 1122346918 1237259177 1414010488 2244693836 2474518354 4489387672 4949036708 8082355403 9898073416 16164710806 32329421612 56576487821 64658843224 88905909433 113152975642 177811818866 226305951284 355623637732 452611902568 622341366031 711247275464 1244682732062 2489365464124 4978730928248