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390429372438 = 232723271949549
BaseRepresentation
bin1011010111001110110…
…01110111000000010110
31101022202200202010010100
411223213121313000112
522344044404404223
6455205532234530
740131126623520
oct5534731670026
91338680663110
10390429372438
11140642225246
126380200ba46
132aa818a7901
1414c7b08ca10
15a2515a2043
hex5ae7677016

390429372438 has 96 divisors (see below), whose sum is σ = 1009202688000. Its totient is φ = 106659799488.

The previous prime is 390429372427. The next prime is 390429372467. The reversal of 390429372438 is 834273924093.

390429372438 is a `hidden beast` number, since 390 + 4 + 2 + 9 + 3 + 7 + 243 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7854888 + ... + 7904436.

It is an arithmetic number, because the mean of its divisors is an integer number (10512528000).

Almost surely, 2390429372438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390429372438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504601344000).

390429372438 is an abundant number, since it is smaller than the sum of its proper divisors (618773315562).

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

390429372438 is a wasteful number, since it uses less digits than its factorization.

390429372438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52306 (or 52303 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 390429372438 in words is "three hundred ninety billion, four hundred twenty-nine million, three hundred seventy-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2719 2898 5438 8157 16314 19033 24471 38066 48942 49549 57099 62537 99098 114198 125074 148647 171297 187611 297294 342594 346843 375222 437759 445941 562833 693686 875518 891882 1040529 1125666 1139627 1313277 2081058 2279254 2626554 3121587 3418881 3939831 6243174 6837762 7879662 7977389 10256643 15954778 20513286 23932167 47864334 71796501 134723731 143593002 269447462 404171193 808342386 943066117 1212513579 1886132234 2425027158 2829198351 3098645813 5658396702 6197291626 8487595053 9295937439 16975190106 18591874878 21690520691 27887812317 43381041382 55775624634 65071562073 130143124146 195214686219 390429372438