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126908316192 = 2537607311123
BaseRepresentation
bin111011000110001010…
…0110011101000100000
3110010120110101102202010
41312030110303220200
54034402012104232
6134144553352520
712111622613640
oct1661424635040
9403513342663
10126908316192
1149904488349
1220719408740
13bc764cbb28
1461dca38520
15347b70e0cc
hex1d8c533a20

126908316192 has 96 divisors (see below), whose sum is σ = 381353398272. Its totient is φ = 36199666944.

The previous prime is 126908316107. The next prime is 126908316277. The reversal of 126908316192 is 291613809621.

It is an interprime number because it is at equal distance from previous prime (126908316107) and next prime (126908316277).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1269083161922 (a number of 23 digits) contains 22 as substring.

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

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, 252343 + ... + 563465.

It is an arithmetic number, because the mean of its divisors is an integer number (3972431232).

Almost surely, 2126908316192 is an apocalyptic number.

126908316192 is a gapful number since it is divisible by the number (12) 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 126908316192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190676699136).

126908316192 is an abundant number, since it is smaller than the sum of its proper divisors (254445082080).

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

126908316192 is a wasteful number, since it uses less digits than its factorization.

126908316192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311750 (or 311742 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 126908316192 in words is "one hundred twenty-six billion, nine hundred eight million, three hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 607 672 1214 1821 2428 3642 4249 4856 7284 8498 9712 12747 14568 16996 19424 25494 29136 33992 50988 58272 67984 101976 135968 203952 311123 407904 622246 933369 1244492 1866738 2177861 2488984 3733476 4355722 4977968 6533583 7466952 8711444 9955936 13067166 14933904 17422888 26134332 29867808 34845776 52268664 69691552 104537328 188851661 209074656 377703322 566554983 755406644 1133109966 1321961627 1510813288 2266219932 2643923254 3021626576 3965884881 4532439864 5287846508 6043253152 7931769762 9064879728 10575693016 15863539524 18129759456 21151386032 31727079048 42302772064 63454158096 126908316192