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40153737264096 = 253616856854041
BaseRepresentation
bin10010010000101000001010…
…01111101111101111100000
312021011122210222201012201210
421020110011033233233200
520230334323214422341
6221222212223230120
711313004020163461
oct1110240517575740
9167148728635653
1040153737264096
1111881116975035
124606091448340
1319536341b6ca1
149cb64634ad68
15499756973c16
hex2485053efbe0

40153737264096 has 48 divisors (see below), whose sum is σ = 107131487552208. Its totient is φ = 13165159756800.

The previous prime is 40153737264083. The next prime is 40153737264107. The reversal of 40153737264096 is 69046273735104.

It is a happy number.

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

It is a super-2 number, since 2×401537372640962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3428421165 + ... + 3428432876.

It is an arithmetic number, because the mean of its divisors is an integer number (2231905990671).

Almost surely, 240153737264096 is an apocalyptic number.

It is an amenable number.

40153737264096 is an abundant number, since it is smaller than the sum of its proper divisors (66977750288112).

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

40153737264096 is a wasteful number, since it uses less digits than its factorization.

40153737264096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856854115 (or 6856854107 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 40153737264096 in words is "forty trillion, one hundred fifty-three billion, seven hundred thirty-seven million, two hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 6856854041 13713708082 20570562123 27427416164 41141124246 54854832328 82282248492 109709664656 164564496984 219419329312 329128993968 418268096501 658257987936 836536193002 1254804289503 1673072386004 2509608579006 3346144772008 5019217158012 6692289544016 10038434316024 13384579088032 20076868632048 40153737264096