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48596606208 = 283313950581
BaseRepresentation
bin101101010000100101…
…010101110100000000
311122102210002101021000
4231100211111310000
51244011212344313
634154105532000
73340161223443
oct552045256400
9148383071230
1048596606208
1119678576577
129502aa4000
1347760a35b7
1424d01b765a
1513e657e673
hexb50955d00

48596606208 has 144 divisors (see below), whose sum is σ = 144745451200. Its totient is φ = 16082012160.

The previous prime is 48596606203. The next prime is 48596606213. The reversal of 48596606208 is 80260669584.

It is a happy number.

48596606208 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 6 + 6 + 0 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48596606203) and next prime (48596606213).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48596606203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935478 + ... + 986058.

Almost surely, 248596606208 is an apocalyptic number.

48596606208 is a gapful number since it is divisible by the number (48) 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 48596606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72372725600).

48596606208 is an abundant number, since it is smaller than the sum of its proper divisors (96148844992).

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

48596606208 is a wasteful number, since it uses less digits than its factorization.

48596606208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50745 (or 50725 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 48596606208 in words is "forty-eight billion, five hundred ninety-six million, six hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 256 278 288 384 417 432 556 576 768 834 864 1112 1152 1251 1668 1728 2224 2304 2502 3336 3456 3753 4448 5004 6672 6912 7506 8896 10008 13344 15012 17792 20016 26688 30024 35584 40032 50581 53376 60048 80064 101162 106752 120096 151743 160128 202324 240192 303486 320256 404648 455229 480384 606972 809296 910458 960768 1213944 1365687 1618592 1820916 2427888 2731374 3237184 3641832 4855776 5462748 6474368 7030759 7283664 9711552 10925496 12948736 14061518 14567328 19423104 21092277 21850992 28123036 29134656 38846208 42184554 43701984 56246072 58269312 63276831 84369108 87403968 112492144 116538624 126553662 168738216 174807936 189830493 224984288 253107324 337476432 349615872 379660986 449968576 506214648 674952864 759321972 899937152 1012429296 1349905728 1518643944 1799874304 2024858592 2699811456 3037287888 4049717184 5399622912 6074575776 8099434368 12149151552 16198868736 24298303104 48596606208