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42720977046 = 2311261964661
BaseRepresentation
bin100111110010010111…
…100110000010010110
311002021022001111022010
4213302113212002112
51144443032231141
631343054445050
73041444212326
oct476227460226
9132238044263
1042720977046
1117132972400
128343203786
13404aa02057
1420d3b01286
1511a0812416
hex9f25e6096

42720977046 has 48 divisors (see below), whose sum is σ = 95455234224. Its totient is φ = 12733512000.

The previous prime is 42720977011. The next prime is 42720977059. The reversal of 42720977046 is 64077902724.

42720977046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427209770462 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42720976986 and 42720977004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438045 + ... + 526616.

It is an arithmetic number, because the mean of its divisors is an integer number (1988650713).

Almost surely, 242720977046 is an apocalyptic number.

42720977046 is an abundant number, since it is smaller than the sum of its proper divisors (52734257178).

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

42720977046 is a wasteful number, since it uses less digits than its factorization.

42720977046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964749 (or 964738 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 42720977046 in words is "forty-two billion, seven hundred twenty million, nine hundred seventy-seven thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 4026 7381 14762 22143 44286 964661 1929322 2893983 5787966 10611271 21222542 31833813 58844321 63667626 116723981 117688642 176532963 233447962 350171943 353065926 647287531 700343886 1294575062 1941862593 3883725186 7120162841 14240325682 21360488523 42720977046