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8448968250072 = 2332738333437321
BaseRepresentation
bin111101011110010110111…
…0000000101001011011000
31002220201021010100121122200
41322330231300011023120
52101411441333000242
625545222531450200
71531263211114560
oct172745560051330
932821233317580
108448968250072
112768207349699
12b45572456960
134939712c96ac
14212d0a11bda0
15e9b9c85004c
hex7af2dc052d8

8448968250072 has 96 divisors (see below), whose sum is σ = 26152310414880. Its totient is φ = 2413922434560.

The previous prime is 8448968250071. The next prime is 8448968250097. The reversal of 8448968250072 is 2700528698448.

8448968250072 is a `hidden beast` number, since 8 + 4 + 48 + 9 + 6 + 82 + 500 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8448968249991 and 8448968250009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448968250071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19101172 + ... + 19538492.

It is an arithmetic number, because the mean of its divisors is an integer number (272419900155).

Almost surely, 28448968250072 is an apocalyptic number.

It is an amenable number.

8448968250072 is an abundant number, since it is smaller than the sum of its proper divisors (17703342164808).

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

8448968250072 is a wasteful number, since it uses less digits than its factorization.

8448968250072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475673 (or 475666 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8448968250072 in words is "eight trillion, four hundred forty-eight billion, nine hundred sixty-eight million, two hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 38333 76666 114999 153332 229998 268331 306664 344997 437321 459996 536662 689994 804993 874642 919992 1073324 1311963 1379988 1609986 1749284 2146648 2414979 2623926 2759976 3061247 3219972 3498568 3935889 4829958 5247852 6122494 6439944 7871778 9183741 9659916 10495704 12244988 15743556 18367482 19319832 24489976 27551223 31487112 36734964 55102446 73469928 110204892 220409784 16763825893 33527651786 50291477679 67055303572 100582955358 117346781251 134110607144 150874433037 201165910716 234693562502 301748866074 352040343753 402331821432 469387125004 603497732148 704080687506 938774250008 1056121031259 1206995464296 1408161375012 2112242062518 2816322750024 4224484125036 8448968250072