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551742295040 = 210517193771127
BaseRepresentation
bin10000000011101100110…
…01110100110000000000
31221202010212110122100022
420001312121310300000
533014432011420130
61101244504113012
754601455061436
oct10016631646000
91852125418308
10551742295040
111a2aa1161602
128ab21465768
134004bb553c1
141c9c10c8d56
15e5434337e5
hex8076674c00

551742295040 has 704 divisors, whose sum is σ = 1548451676160. Its totient is φ = 187280916480.

The previous prime is 551742294973. The next prime is 551742295043. The reversal of 551742295040 is 40592247155.

It is a junction number, because it is equal to n+sod(n) for n = 551742294982 and 551742295000.

It is not an unprimeable number, because it can be changed into a prime (551742295043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4344427457 + ... + 4344427583.

Almost surely, 2551742295040 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 551742295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774225838080).

551742295040 is an abundant number, since it is smaller than the sum of its proper divisors (996709381120).

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

551742295040 is a wasteful number, since it uses less digits than its factorization.

551742295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 551742295040 in words is "five hundred fifty-one billion, seven hundred forty-two million, two hundred ninety-five thousand, forty".