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48640204480 = 265783261619
BaseRepresentation
bin101101010011001011…
…101001111011000000
311122112211010101211211
4231103023221323000
51244103343020410
634202304215504
73341230626220
oct552313517300
9148484111754
1048640204480
11196a01445aa
12951560a594
134782129baa
1424d5cc6080
1513ea2e268a
hexb532e9ec0

48640204480 has 112 divisors (see below), whose sum is σ = 133966183680. Its totient is φ = 16475655168.

The previous prime is 48640204451. The next prime is 48640204519. The reversal of 48640204480 is 8440204684.

48640204480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55111 + ... + 316729.

It is an arithmetic number, because the mean of its divisors is an integer number (1196126640).

Almost surely, 248640204480 is an apocalyptic number.

48640204480 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 48640204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66983091840).

48640204480 is an abundant number, since it is smaller than the sum of its proper divisors (85325979200).

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

48640204480 is a wasteful number, since it uses less digits than its factorization.

48640204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261726 (or 261716 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 48640204480 in words is "forty-eight billion, six hundred forty million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 140 160 166 224 280 320 332 415 448 560 581 664 830 1120 1162 1328 1660 2240 2324 2656 2905 3320 4648 5312 5810 6640 9296 11620 13280 18592 23240 26560 37184 46480 92960 185920 261619 523238 1046476 1308095 1831333 2092952 2616190 3662666 4185904 5232380 7325332 8371808 9156665 10464760 14650664 16743616 18313330 20929520 21714377 29301328 36626660 41859040 43428754 58602656 73253320 83718080 86857508 108571885 117205312 146506640 152000639 173715016 217143770 293013280 304001278 347430032 434287540 586026560 608002556 694860064 760003195 868575080 1216005112 1389720128 1520006390 1737150160 2432010224 3040012780 3474300320 4864020448 6080025560 6948600640 9728040896 12160051120 24320102240 48640204480