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11325628173648 = 2435320812139307
BaseRepresentation
bin1010010011001111010000…
…0010110100110101010000
31111002201102111111211010010
42210303310002310311100
52441024341303024043
640030531033234520
72246151424040265
oct244636402646520
944081374454103
1011325628173648
113677198933408
12132ab95b62a40
1364200496a649
142b224025d26c
15149913c71133
hexa4cf40b4d50

11325628173648 has 80 divisors (see below), whose sum is σ = 29824246858176. Its totient is φ = 3702197391360.

The previous prime is 11325628173637. The next prime is 11325628173649. The reversal of 11325628173648 is 84637182652311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11325628173649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4224411 + ... + 6363717.

Almost surely, 211325628173648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325628173648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912123429088).

11325628173648 is an abundant number, since it is smaller than the sum of its proper divisors (18498618684528).

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

11325628173648 is a wasteful number, since it uses less digits than its factorization.

11325628173648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141452 (or 2141446 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 11325628173648 in words is "eleven trillion, three hundred twenty-five billion, six hundred twenty-eight million, one hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2081 2544 4162 6243 8324 12486 16648 24972 33296 49944 99888 110293 220586 330879 441172 661758 882344 1323516 1764688 2139307 2647032 4278614 5294064 6417921 8557228 12835842 17114456 25671684 34228912 51343368 102686736 113383271 226766542 340149813 453533084 680299626 907066168 1360599252 1814132336 2721198504 4451897867 5442397008 8903795734 13355693601 17807591468 26711387202 35615182936 53422774404 71230365872 106845548808 213691097616 235950586951 471901173902 707851760853 943802347804 1415703521706 1887604695608 2831407043412 3775209391216 5662814086824 11325628173648