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48540704016 = 24372315141597
BaseRepresentation
bin101101001101010000…
…000101110100010000
311122021212220020212110
4231031100011310100
51243402410012031
634144351425320
73335612114340
oct551520056420
9148255806773
1048540704016
1119649a64412
1294a8225240
13476762c88c
1424c69c4d20
1513e16dac46
hexb4d405d10

48540704016 has 160 divisors (see below), whose sum is σ = 150535507968. Its totient is φ = 13177612800.

The previous prime is 48540704011. The next prime is 48540704033. The reversal of 48540704016 is 61040704584.

It is not an unprimeable number, because it can be changed into a prime (48540704011) 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, 1146130 + ... + 1187726.

Almost surely, 248540704016 is an apocalyptic number.

48540704016 is a gapful number since it is divisible by the number (46) 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 48540704016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75267753984).

48540704016 is an abundant number, since it is smaller than the sum of its proper divisors (101994803952).

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

48540704016 is a wasteful number, since it uses less digits than its factorization.

48540704016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41789 (or 41783 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 48540704016 in words is "forty-eight billion, five hundred forty million, seven hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 151 161 168 184 276 302 322 336 368 453 483 552 604 644 906 966 1057 1104 1208 1288 1812 1932 2114 2416 2576 3171 3473 3624 3864 4228 6342 6946 7248 7728 8456 10419 12684 13892 16912 20838 24311 25368 27784 41597 41676 48622 50736 55568 72933 83194 83352 97244 124791 145866 166388 166704 194488 249582 291179 291732 332776 388976 499164 582358 583464 665552 873537 956731 998328 1164716 1166928 1747074 1913462 1996656 2329432 2870193 3494148 3826924 4658864 5740386 6281147 6697117 6988296 7653848 11480772 12562294 13394234 13976592 15307696 18843441 20091351 22961544 25124588 26788468 37686882 40182702 43968029 45923088 50249176 53576936 75373764 80365404 87936058 100498352 107153872 131904087 144466381 150747528 160730808 175872116 263808174 288932762 301495056 321461616 351744232 433399143 527616348 577865524 703488464 866798286 1011264667 1055232696 1155731048 1733596572 2022529334 2110465392 2311462096 3033794001 3467193144 4045058668 6067588002 6934386288 8090117336 12135176004 16180234672 24270352008 48540704016