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71249136672 = 2537106025501
BaseRepresentation
bin100001001011011000…
…1111000110000100000
320210220110211011020210
41002112301320300200
52131404234333142
652421552134120
75101422445350
oct1022661706040
9223813734223
1071249136672
1128242309a2a
1211985237340
13694618428c
14363c896b60
151cc010549c
hex1096c78c20

71249136672 has 48 divisors (see below), whose sum is σ = 213747412032. Its totient is φ = 20356896000.

The previous prime is 71249136671. The next prime is 71249136677. The reversal of 71249136672 is 27663194217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71249136671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53012079 + ... + 53013422.

It is an arithmetic number, because the mean of its divisors is an integer number (4453071084).

Almost surely, 271249136672 is an apocalyptic number.

It is an amenable number.

71249136672 is an abundant number, since it is smaller than the sum of its proper divisors (142498275360).

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

71249136672 is a wasteful number, since it uses less digits than its factorization.

71249136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106025521 (or 106025513 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 71249136672 in words is "seventy-one billion, two hundred forty-nine million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 106025501 212051002 318076503 424102004 636153006 742178507 848204008 1272306012 1484357014 1696408016 2226535521 2544612024 2968714028 3392816032 4453071042 5089224048 5937428056 8906142084 10178448096 11874856112 17812284168 23749712224 35624568336 71249136672