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18830736444 = 22313234726759
BaseRepresentation
bin10001100010011001…
…100011110000111100
31210121100100112012010
4101202121203300330
5302031132031234
612352320011220
71234433422152
oct214231436074
953540315163
1018830736444
117a93507003
123796460b10
131a11385700
14ca8cb73d2
157532a26e9
hex462663c3c

18830736444 has 72 divisors (see below), whose sum is σ = 47717147520. Its totient is φ = 5777159232.

The previous prime is 18830736427. The next prime is 18830736461. The reversal of 18830736444 is 44463703881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18830736427) and next prime (18830736461).

It is a junction number, because it is equal to n+sod(n) for n = 18830736393 and 18830736402.

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, 690337 + ... + 717095.

It is an arithmetic number, because the mean of its divisors is an integer number (662738160).

Almost surely, 218830736444 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 18830736444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858573760).

18830736444 is an abundant number, since it is smaller than the sum of its proper divisors (28886411076).

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

18830736444 is a wasteful number, since it uses less digits than its factorization.

18830736444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27139 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 18830736444 in words is "eighteen billion, eight hundred thirty million, seven hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 347 507 676 694 1014 1041 1388 2028 2082 4164 4511 9022 13533 18044 26759 27066 53518 54132 58643 80277 107036 117286 160554 175929 234572 321108 347867 351858 695734 703716 1043601 1391468 2087202 4174404 4522271 9044542 9285373 13566813 18089084 18570746 27133626 27856119 37141492 54267252 55712238 111424476 120709849 241419698 362129547 482839396 724259094 1448518188 1569228037 3138456074 4707684111 6276912148 9415368222 18830736444