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5040655335936 = 293311179372081
BaseRepresentation
bin100100101011001111001…
…1110001000001000000000
3122211212210221022011211000
41021112132132020020000
51130041230231222221
614415351201252000
71030114065262263
oct111263636101000
918755727264730
105040655335936
111673803589150
12694ab5334000
132a7440b4846c
14135d7cdc2cda
158b1bba06e26
hex4959e788200

5040655335936 has 640 divisors, whose sum is σ = 17261277707520. Its totient is φ = 1435395686400.

The previous prime is 5040655335871. The next prime is 5040655335943. The reversal of 5040655335936 is 6395335560405.

5040655335936 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 6 + 553 + 3 + 59 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2422226416 + ... + 2422228496.

It is an arithmetic number, because the mean of its divisors is an integer number (26970746418).

Almost surely, 25040655335936 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 5040655335936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630638853760).

5040655335936 is an abundant number, since it is smaller than the sum of its proper divisors (12220622371584).

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

5040655335936 is a wasteful number, since it uses less digits than its factorization.

5040655335936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 21870000, while the sum is 54.

The spelling of 5040655335936 in words is "five trillion, forty billion, six hundred fifty-five million, three hundred thirty-five thousand, nine hundred thirty-six".